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Finding the Third Proportional to 261,694 and 415,054

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Solution

The third proportional to 261,694 and 415,054 is: 658,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,694 : 415,054 = 415,054 : x
  2. Step 2: Convert to fraction form
    261,694/415,054 = 415,054/x
  3. Step 3: Cross multiply
    261,694x = 415,054 × 415,054
  4. Step 4: Simplify right side
    261,694x = 172,269,822,916
  5. Step 5: Solve for x
    x = 172,269,822,916/261,694
  6. Step 6: Final answer
    x = 658,287.25

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.