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Finding the Third Proportional to 252,534 and 561,120

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Solution

The third proportional to 252,534 and 561,120 is: 1,246,785.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,534 : 561,120 = 561,120 : x
  2. Step 2: Convert to fraction form
    252,534/561,120 = 561,120/x
  3. Step 3: Cross multiply
    252,534x = 561,120 × 561,120
  4. Step 4: Simplify right side
    252,534x = 314,855,654,400
  5. Step 5: Solve for x
    x = 314,855,654,400/252,534
  6. Step 6: Final answer
    x = 1,246,785.20

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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.