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Finding the Third Proportional to 140,508 and 249,828

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Solution

The third proportional to 140,508 and 249,828 is: 444,202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,508 : 249,828 = 249,828 : x
  2. Step 2: Convert to fraction form
    140,508/249,828 = 249,828/x
  3. Step 3: Cross multiply
    140,508x = 249,828 × 249,828
  4. Step 4: Simplify right side
    140,508x = 62,414,029,584
  5. Step 5: Solve for x
    x = 62,414,029,584/140,508
  6. Step 6: Final answer
    x = 444,202.68

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.