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Finding the Third Proportional to 57,695,503,804.50 and 125,322,963,795

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Solution

The third proportional to 57,695,503,804.50 and 125,322,963,795 is: 272,219,570,307.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695,503,804.50 : 125,322,963,795 = 125,322,963,795 : x
  2. Step 2: Convert to fraction form
    57,695,503,804.50/125,322,963,795 = 125,322,963,795/x
  3. Step 3: Cross multiply
    57,695,503,804.50x = 125,322,963,795 × 125,322,963,795
  4. Step 4: Simplify right side
    57,695,503,804.50x = 15,705,845,254,362,880,802,816
  5. Step 5: Solve for x
    x = 15,705,845,254,362,880,802,816/57,695,503,804.50
  6. Step 6: Final answer
    x = 272,219,570,307.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.