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Finding the Third Proportional to 9,432 and 20,677.50

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Solution

The third proportional to 9,432 and 20,677.50 is: 45,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,432 : 20,677.50 = 20,677.50 : x
  2. Step 2: Convert to fraction form
    9,432/20,677.50 = 20,677.50/x
  3. Step 3: Cross multiply
    9,432x = 20,677.50 × 20,677.50
  4. Step 4: Simplify right side
    9,432x = 427,559,006.25
  5. Step 5: Solve for x
    x = 427,559,006.25/9,432
  6. Step 6: Final answer
    x = 45,330.68

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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.