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Finding the Third Proportional to 260,628 and 563,414

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Solution

The third proportional to 260,628 and 563,414 is: 1,217,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,628 : 563,414 = 563,414 : x
  2. Step 2: Convert to fraction form
    260,628/563,414 = 563,414/x
  3. Step 3: Cross multiply
    260,628x = 563,414 × 563,414
  4. Step 4: Simplify right side
    260,628x = 317,435,335,396
  5. Step 5: Solve for x
    x = 317,435,335,396/260,628
  6. Step 6: Final answer
    x = 1,217,963.29

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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.