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Finding the Third Proportional to 142,750 and 214,124

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Solution

The third proportional to 142,750 and 214,124 is: 321,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,750 : 214,124 = 214,124 : x
  2. Step 2: Convert to fraction form
    142,750/214,124 = 214,124/x
  3. Step 3: Cross multiply
    142,750x = 214,124 × 214,124
  4. Step 4: Simplify right side
    142,750x = 45,849,087,376
  5. Step 5: Solve for x
    x = 45,849,087,376/142,750
  6. Step 6: Final answer
    x = 321,184.50

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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.