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Finding the Third Proportional to 53,122,032 and 78,163,989

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Solution

The third proportional to 53,122,032 and 78,163,989 is: 115,010,833.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,122,032 : 78,163,989 = 78,163,989 : x
  2. Step 2: Convert to fraction form
    53,122,032/78,163,989 = 78,163,989/x
  3. Step 3: Cross multiply
    53,122,032x = 78,163,989 × 78,163,989
  4. Step 4: Simplify right side
    53,122,032x = 6,109,609,176,392,121
  5. Step 5: Solve for x
    x = 6,109,609,176,392,121/53,122,032
  6. Step 6: Final answer
    x = 115,010,833.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.