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Finding the Third Proportional to 15,480,480.16 and 21,654,207.46

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Solution

The third proportional to 15,480,480.16 and 21,654,207.46 is: 30,290,061.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,480,480.16 : 21,654,207.46 = 21,654,207.46 : x
  2. Step 2: Convert to fraction form
    15,480,480.16/21,654,207.46 = 21,654,207.46/x
  3. Step 3: Cross multiply
    15,480,480.16x = 21,654,207.46 × 21,654,207.46
  4. Step 4: Simplify right side
    15,480,480.16x = 468,904,700,592,137
  5. Step 5: Solve for x
    x = 468,904,700,592,137/15,480,480.16
  6. Step 6: Final answer
    x = 30,290,061.78

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.