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Finding the Third Proportional to 81,607,770 and 172,426,482

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Solution

The third proportional to 81,607,770 and 172,426,482 is: 364,314,472.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,607,770 : 172,426,482 = 172,426,482 : x
  2. Step 2: Convert to fraction form
    81,607,770/172,426,482 = 172,426,482/x
  3. Step 3: Cross multiply
    81,607,770x = 172,426,482 × 172,426,482
  4. Step 4: Simplify right side
    81,607,770x = 29,730,891,694,896,324
  5. Step 5: Solve for x
    x = 29,730,891,694,896,324/81,607,770
  6. Step 6: Final answer
    x = 364,314,472.69

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.