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Finding the Third Proportional to 272,810 and 413,427

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Solution

The third proportional to 272,810 and 413,427 is: 626,523.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,810 : 413,427 = 413,427 : x
  2. Step 2: Convert to fraction form
    272,810/413,427 = 413,427/x
  3. Step 3: Cross multiply
    272,810x = 413,427 × 413,427
  4. Step 4: Simplify right side
    272,810x = 170,921,884,329
  5. Step 5: Solve for x
    x = 170,921,884,329/272,810
  6. Step 6: Final answer
    x = 626,523.53

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.