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Finding the Third Proportional to 261,685 and 415,041

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Solution

The third proportional to 261,685 and 415,041 is: 658,268.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,685 : 415,041 = 415,041 : x
  2. Step 2: Convert to fraction form
    261,685/415,041 = 415,041/x
  3. Step 3: Cross multiply
    261,685x = 415,041 × 415,041
  4. Step 4: Simplify right side
    261,685x = 172,259,031,681
  5. Step 5: Solve for x
    x = 172,259,031,681/261,685
  6. Step 6: Final answer
    x = 658,268.65

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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.