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Finding the Third Proportional to 261,554 and 566,440

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Solution

The third proportional to 261,554 and 566,440 is: 1,226,722.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,554 : 566,440 = 566,440 : x
  2. Step 2: Convert to fraction form
    261,554/566,440 = 566,440/x
  3. Step 3: Cross multiply
    261,554x = 566,440 × 566,440
  4. Step 4: Simplify right side
    261,554x = 320,854,273,600
  5. Step 5: Solve for x
    x = 320,854,273,600/261,554
  6. Step 6: Final answer
    x = 1,226,722.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.