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Finding the Third Proportional to 142,812 and 212,654

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Solution

The third proportional to 142,812 and 212,654 is: 316,652.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812 : 212,654 = 212,654 : x
  2. Step 2: Convert to fraction form
    142,812/212,654 = 212,654/x
  3. Step 3: Cross multiply
    142,812x = 212,654 × 212,654
  4. Step 4: Simplify right side
    142,812x = 45,221,723,716
  5. Step 5: Solve for x
    x = 45,221,723,716/142,812
  6. Step 6: Final answer
    x = 316,652.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.