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Finding the Third Proportional to 308,162 and 432,687

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Solution

The third proportional to 308,162 and 432,687 is: 607,531.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,162 : 432,687 = 432,687 : x
  2. Step 2: Convert to fraction form
    308,162/432,687 = 432,687/x
  3. Step 3: Cross multiply
    308,162x = 432,687 × 432,687
  4. Step 4: Simplify right side
    308,162x = 187,218,039,969
  5. Step 5: Solve for x
    x = 187,218,039,969/308,162
  6. Step 6: Final answer
    x = 607,531.23

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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.