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Finding the Third Proportional to 249,840 and 539,559

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Solution

The third proportional to 249,840 and 539,559 is: 1,165,241.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,840 : 539,559 = 539,559 : x
  2. Step 2: Convert to fraction form
    249,840/539,559 = 539,559/x
  3. Step 3: Cross multiply
    249,840x = 539,559 × 539,559
  4. Step 4: Simplify right side
    249,840x = 291,123,914,481
  5. Step 5: Solve for x
    x = 291,123,914,481/249,840
  6. Step 6: Final answer
    x = 1,165,241.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.