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Finding the Third Proportional to 71,413,286 and 100,565,643.13

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Solution

The third proportional to 71,413,286 and 100,565,643.13 is: 141,618,585.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,413,286 : 100,565,643.13 = 100,565,643.13 : x
  2. Step 2: Convert to fraction form
    71,413,286/100,565,643.13 = 100,565,643.13/x
  3. Step 3: Cross multiply
    71,413,286x = 100,565,643.13 × 100,565,643.13
  4. Step 4: Simplify right side
    71,413,286x = 10,113,448,577,144,860
  5. Step 5: Solve for x
    x = 10,113,448,577,144,860/71,413,286
  6. Step 6: Final answer
    x = 141,618,585.89

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.