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Finding the Third Proportional to 30,214.50 and 65,451

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Solution

The third proportional to 30,214.50 and 65,451 is: 141,780.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,214.50 : 65,451 = 65,451 : x
  2. Step 2: Convert to fraction form
    30,214.50/65,451 = 65,451/x
  3. Step 3: Cross multiply
    30,214.50x = 65,451 × 65,451
  4. Step 4: Simplify right side
    30,214.50x = 4,283,833,401
  5. Step 5: Solve for x
    x = 4,283,833,401/30,214.50
  6. Step 6: Final answer
    x = 141,780.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.