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Finding the Third Proportional to 261,058 and 415,395

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Solution

The third proportional to 261,058 and 415,395 is: 660,975.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,058 : 415,395 = 415,395 : x
  2. Step 2: Convert to fraction form
    261,058/415,395 = 415,395/x
  3. Step 3: Cross multiply
    261,058x = 415,395 × 415,395
  4. Step 4: Simplify right side
    261,058x = 172,553,006,025
  5. Step 5: Solve for x
    x = 172,553,006,025/261,058
  6. Step 6: Final answer
    x = 660,975.74

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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.