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Finding the Third Proportional to 67,502 and 147,715

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Solution

The third proportional to 67,502 and 147,715 is: 323,245.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,502 : 147,715 = 147,715 : x
  2. Step 2: Convert to fraction form
    67,502/147,715 = 147,715/x
  3. Step 3: Cross multiply
    67,502x = 147,715 × 147,715
  4. Step 4: Simplify right side
    67,502x = 21,819,721,225
  5. Step 5: Solve for x
    x = 21,819,721,225/67,502
  6. Step 6: Final answer
    x = 323,245.55

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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.