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Finding the Third Proportional to 261,705 and 415,084

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Solution

The third proportional to 261,705 and 415,084 is: 658,354.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,705 : 415,084 = 415,084 : x
  2. Step 2: Convert to fraction form
    261,705/415,084 = 415,084/x
  3. Step 3: Cross multiply
    261,705x = 415,084 × 415,084
  4. Step 4: Simplify right side
    261,705x = 172,294,727,056
  5. Step 5: Solve for x
    x = 172,294,727,056/261,705
  6. Step 6: Final answer
    x = 658,354.74

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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.