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Finding the Third Proportional to 69,366 and 147,372

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Solution

The third proportional to 69,366 and 147,372 is: 313,100.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,366 : 147,372 = 147,372 : x
  2. Step 2: Convert to fraction form
    69,366/147,372 = 147,372/x
  3. Step 3: Cross multiply
    69,366x = 147,372 × 147,372
  4. Step 4: Simplify right side
    69,366x = 21,718,506,384
  5. Step 5: Solve for x
    x = 21,718,506,384/69,366
  6. Step 6: Final answer
    x = 313,100.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.