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Finding the Third Proportional to 9,432 and 22,336

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Solution

The third proportional to 9,432 and 22,336 is: 52,894.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 22,336 = 22,336 : x
  2. Step 2: Convert to fraction form
    9,432/22,336 = 22,336/x
  3. Step 3: Cross multiply
    9,432x = 22,336 × 22,336
  4. Step 4: Simplify right side
    9,432x = 498,896,896
  5. Step 5: Solve for x
    x = 498,896,896/9,432
  6. Step 6: Final answer
    x = 52,894.07

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.