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Finding the Third Proportional to 67,489 and 147,688

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Solution

The third proportional to 67,489 and 147,688 is: 323,189.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,489 : 147,688 = 147,688 : x
  2. Step 2: Convert to fraction form
    67,489/147,688 = 147,688/x
  3. Step 3: Cross multiply
    67,489x = 147,688 × 147,688
  4. Step 4: Simplify right side
    67,489x = 21,811,745,344
  5. Step 5: Solve for x
    x = 21,811,745,344/67,489
  6. Step 6: Final answer
    x = 323,189.64

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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.