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Finding the Third Proportional to 30,387 and 65,634

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Solution

The third proportional to 30,387 and 65,634 is: 141,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,387 : 65,634 = 65,634 : x
  2. Step 2: Convert to fraction form
    30,387/65,634 = 65,634/x
  3. Step 3: Cross multiply
    30,387x = 65,634 × 65,634
  4. Step 4: Simplify right side
    30,387x = 4,307,821,956
  5. Step 5: Solve for x
    x = 4,307,821,956/30,387
  6. Step 6: Final answer
    x = 141,765.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.