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Finding the Third Proportional to 118,291,889 and 257,413,512.50

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Solution

The third proportional to 118,291,889 and 257,413,512.50 is: 560,154,351.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,291,889 : 257,413,512.50 = 257,413,512.50 : x
  2. Step 2: Convert to fraction form
    118,291,889/257,413,512.50 = 257,413,512.50/x
  3. Step 3: Cross multiply
    118,291,889x = 257,413,512.50 × 257,413,512.50
  4. Step 4: Simplify right side
    118,291,889x = 66,261,716,417,587,656
  5. Step 5: Solve for x
    x = 66,261,716,417,587,656/118,291,889
  6. Step 6: Final answer
    x = 560,154,351.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.