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Finding the Third Proportional to 252,090 and 531,720

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Solution

The third proportional to 252,090 and 531,720 is: 1,121,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,090 : 531,720 = 531,720 : x
  2. Step 2: Convert to fraction form
    252,090/531,720 = 531,720/x
  3. Step 3: Cross multiply
    252,090x = 531,720 × 531,720
  4. Step 4: Simplify right side
    252,090x = 282,726,158,400
  5. Step 5: Solve for x
    x = 282,726,158,400/252,090
  6. Step 6: Final answer
    x = 1,121,528.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.