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Finding the Third Proportional to 30,438 and 61,716

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Solution

The third proportional to 30,438 and 61,716 is: 125,135.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438 : 61,716 = 61,716 : x
  2. Step 2: Convert to fraction form
    30,438/61,716 = 61,716/x
  3. Step 3: Cross multiply
    30,438x = 61,716 × 61,716
  4. Step 4: Simplify right side
    30,438x = 3,808,864,656
  5. Step 5: Solve for x
    x = 3,808,864,656/30,438
  6. Step 6: Final answer
    x = 125,135.18

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.