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Finding the Third Proportional to 30,438 and 40,715

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Solution

The third proportional to 30,438 and 40,715 is: 54,461.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 40,715 = 40,715 : x
  2. Step 2: Convert to fraction form
    30,438/40,715 = 40,715/x
  3. Step 3: Cross multiply
    30,438x = 40,715 × 40,715
  4. Step 4: Simplify right side
    30,438x = 1,657,711,225
  5. Step 5: Solve for x
    x = 1,657,711,225/30,438
  6. Step 6: Final answer
    x = 54,461.90

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.