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Finding the Third Proportional to 67,639 and 144,332

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Solution

The third proportional to 67,639 and 144,332 is: 307,983.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,639 : 144,332 = 144,332 : x
  2. Step 2: Convert to fraction form
    67,639/144,332 = 144,332/x
  3. Step 3: Cross multiply
    67,639x = 144,332 × 144,332
  4. Step 4: Simplify right side
    67,639x = 20,831,726,224
  5. Step 5: Solve for x
    x = 20,831,726,224/67,639
  6. Step 6: Final answer
    x = 307,983.95

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.