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Finding the Third Proportional to 140,514 and 249,840

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Solution

The third proportional to 140,514 and 249,840 is: 444,226.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,514 : 249,840 = 249,840 : x
  2. Step 2: Convert to fraction form
    140,514/249,840 = 249,840/x
  3. Step 3: Cross multiply
    140,514x = 249,840 × 249,840
  4. Step 4: Simplify right side
    140,514x = 62,420,025,600
  5. Step 5: Solve for x
    x = 62,420,025,600/140,514
  6. Step 6: Final answer
    x = 444,226.38

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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.