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Finding the Third Proportional to 142,248 and 213,750

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Solution

The third proportional to 142,248 and 213,750 is: 321,193.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248 : 213,750 = 213,750 : x
  2. Step 2: Convert to fraction form
    142,248/213,750 = 213,750/x
  3. Step 3: Cross multiply
    142,248x = 213,750 × 213,750
  4. Step 4: Simplify right side
    142,248x = 45,689,062,500
  5. Step 5: Solve for x
    x = 45,689,062,500/142,248
  6. Step 6: Final answer
    x = 321,193.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.