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Finding the Third Proportional to 261,690 and 415,048

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Solution

The third proportional to 261,690 and 415,048 is: 658,278.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,690 : 415,048 = 415,048 : x
  2. Step 2: Convert to fraction form
    261,690/415,048 = 415,048/x
  3. Step 3: Cross multiply
    261,690x = 415,048 × 415,048
  4. Step 4: Simplify right side
    261,690x = 172,264,842,304
  5. Step 5: Solve for x
    x = 172,264,842,304/261,690
  6. Step 6: Final answer
    x = 658,278.28

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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.