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Finding the Third Proportional to 360,644 and 561,376

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Solution

The third proportional to 360,644 and 561,376 is: 873,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,644 : 561,376 = 561,376 : x
  2. Step 2: Convert to fraction form
    360,644/561,376 = 561,376/x
  3. Step 3: Cross multiply
    360,644x = 561,376 × 561,376
  4. Step 4: Simplify right side
    360,644x = 315,143,013,376
  5. Step 5: Solve for x
    x = 315,143,013,376/360,644
  6. Step 6: Final answer
    x = 873,834.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.