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Finding the Third Proportional to 67,516 and 147,739

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Solution

The third proportional to 67,516 and 147,739 is: 323,283.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,516 : 147,739 = 147,739 : x
  2. Step 2: Convert to fraction form
    67,516/147,739 = 147,739/x
  3. Step 3: Cross multiply
    67,516x = 147,739 × 147,739
  4. Step 4: Simplify right side
    67,516x = 21,826,812,121
  5. Step 5: Solve for x
    x = 21,826,812,121/67,516
  6. Step 6: Final answer
    x = 323,283.55

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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.