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Finding the Third Proportional to 30,765 and 40,398

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Solution

The third proportional to 30,765 and 40,398 is: 53,047.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,765 : 40,398 = 40,398 : x
  2. Step 2: Convert to fraction form
    30,765/40,398 = 40,398/x
  3. Step 3: Cross multiply
    30,765x = 40,398 × 40,398
  4. Step 4: Simplify right side
    30,765x = 1,631,998,404
  5. Step 5: Solve for x
    x = 1,631,998,404/30,765
  6. Step 6: Final answer
    x = 53,047.24

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.