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Finding the Third Proportional to 67,416 and 147,288

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Solution

The third proportional to 67,416 and 147,288 is: 321,789.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,416 : 147,288 = 147,288 : x
  2. Step 2: Convert to fraction form
    67,416/147,288 = 147,288/x
  3. Step 3: Cross multiply
    67,416x = 147,288 × 147,288
  4. Step 4: Simplify right side
    67,416x = 21,693,754,944
  5. Step 5: Solve for x
    x = 21,693,754,944/67,416
  6. Step 6: Final answer
    x = 321,789.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.