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Finding the Third Proportional to 67,317 and 147,690

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Solution

The third proportional to 67,317 and 147,690 is: 324,024.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,317 : 147,690 = 147,690 : x
  2. Step 2: Convert to fraction form
    67,317/147,690 = 147,690/x
  3. Step 3: Cross multiply
    67,317x = 147,690 × 147,690
  4. Step 4: Simplify right side
    67,317x = 21,812,336,100
  5. Step 5: Solve for x
    x = 21,812,336,100/67,317
  6. Step 6: Final answer
    x = 324,024.19

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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.