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Finding the Third Proportional to 140,518 and 249,848

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Solution

The third proportional to 140,518 and 249,848 is: 444,242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,518 : 249,848 = 249,848 : x
  2. Step 2: Convert to fraction form
    140,518/249,848 = 249,848/x
  3. Step 3: Cross multiply
    140,518x = 249,848 × 249,848
  4. Step 4: Simplify right side
    140,518x = 62,424,023,104
  5. Step 5: Solve for x
    x = 62,424,023,104/140,518
  6. Step 6: Final answer
    x = 444,242.18

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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.