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Finding the Third Proportional to 252,637 and 540,279

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Solution

The third proportional to 252,637 and 540,279 is: 1,155,418.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,637 : 540,279 = 540,279 : x
  2. Step 2: Convert to fraction form
    252,637/540,279 = 540,279/x
  3. Step 3: Cross multiply
    252,637x = 540,279 × 540,279
  4. Step 4: Simplify right side
    252,637x = 291,901,397,841
  5. Step 5: Solve for x
    x = 291,901,397,841/252,637
  6. Step 6: Final answer
    x = 1,155,418.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.