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Finding the Third Proportional to 67,311 and 147,678

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Solution

The third proportional to 67,311 and 147,678 is: 324,000.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311 : 147,678 = 147,678 : x
  2. Step 2: Convert to fraction form
    67,311/147,678 = 147,678/x
  3. Step 3: Cross multiply
    67,311x = 147,678 × 147,678
  4. Step 4: Simplify right side
    67,311x = 21,808,791,684
  5. Step 5: Solve for x
    x = 21,808,791,684/67,311
  6. Step 6: Final answer
    x = 324,000.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.