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Finding the Third Proportional to 261,569 and 368,341

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Solution

The third proportional to 261,569 and 368,341 is: 518,697.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,569 : 368,341 = 368,341 : x
  2. Step 2: Convert to fraction form
    261,569/368,341 = 368,341/x
  3. Step 3: Cross multiply
    261,569x = 368,341 × 368,341
  4. Step 4: Simplify right side
    261,569x = 135,675,092,281
  5. Step 5: Solve for x
    x = 135,675,092,281/261,569
  6. Step 6: Final answer
    x = 518,697.14

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.