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Finding the Third Proportional to 261,040 and 415,369

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Solution

The third proportional to 261,040 and 415,369 is: 660,938.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,040 : 415,369 = 415,369 : x
  2. Step 2: Convert to fraction form
    261,040/415,369 = 415,369/x
  3. Step 3: Cross multiply
    261,040x = 415,369 × 415,369
  4. Step 4: Simplify right side
    261,040x = 172,531,406,161
  5. Step 5: Solve for x
    x = 172,531,406,161/261,040
  6. Step 6: Final answer
    x = 660,938.58

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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.