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Finding the Third Proportional to 261,470 and 564,412

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Solution

The third proportional to 261,470 and 564,412 is: 1,218,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,470 : 564,412 = 564,412 : x
  2. Step 2: Convert to fraction form
    261,470/564,412 = 564,412/x
  3. Step 3: Cross multiply
    261,470x = 564,412 × 564,412
  4. Step 4: Simplify right side
    261,470x = 318,560,905,744
  5. Step 5: Solve for x
    x = 318,560,905,744/261,470
  6. Step 6: Final answer
    x = 1,218,345.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.