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Finding the Third Proportional to 69,408 and 147,708

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Solution

The third proportional to 69,408 and 147,708 is: 314,339.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,408 : 147,708 = 147,708 : x
  2. Step 2: Convert to fraction form
    69,408/147,708 = 147,708/x
  3. Step 3: Cross multiply
    69,408x = 147,708 × 147,708
  4. Step 4: Simplify right side
    69,408x = 21,817,653,264
  5. Step 5: Solve for x
    x = 21,817,653,264/69,408
  6. Step 6: Final answer
    x = 314,339.17

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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.