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Finding the Third Proportional to 142,080 and 212,147

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Solution

The third proportional to 142,080 and 212,147 is: 316,767.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080 : 212,147 = 212,147 : x
  2. Step 2: Convert to fraction form
    142,080/212,147 = 212,147/x
  3. Step 3: Cross multiply
    142,080x = 212,147 × 212,147
  4. Step 4: Simplify right side
    142,080x = 45,006,349,609
  5. Step 5: Solve for x
    x = 45,006,349,609/142,080
  6. Step 6: Final answer
    x = 316,767.66

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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.