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Finding the Third Proportional to 398,253,009.50 and 623,362,015.50

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Solution

The third proportional to 398,253,009.50 and 623,362,015.50 is: 975,711,904.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,253,009.50 : 623,362,015.50 = 623,362,015.50 : x
  2. Step 2: Convert to fraction form
    398,253,009.50/623,362,015.50 = 623,362,015.50/x
  3. Step 3: Cross multiply
    398,253,009.50x = 623,362,015.50 × 623,362,015.50
  4. Step 4: Simplify right side
    398,253,009.50x = 388,580,202,368,222,272
  5. Step 5: Solve for x
    x = 388,580,202,368,222,272/398,253,009.50
  6. Step 6: Final answer
    x = 975,711,904.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.