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Finding the Third Proportional to 252,543 and 561,135

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Solution

The third proportional to 252,543 and 561,135 is: 1,246,807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,543 : 561,135 = 561,135 : x
  2. Step 2: Convert to fraction form
    252,543/561,135 = 561,135/x
  3. Step 3: Cross multiply
    252,543x = 561,135 × 561,135
  4. Step 4: Simplify right side
    252,543x = 314,872,488,225
  5. Step 5: Solve for x
    x = 314,872,488,225/252,543
  6. Step 6: Final answer
    x = 1,246,807.43

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.