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Finding the Third Proportional to 66,352.50 and 140,481

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Solution

The third proportional to 66,352.50 and 140,481 is: 297,425.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,352.50 : 140,481 = 140,481 : x
  2. Step 2: Convert to fraction form
    66,352.50/140,481 = 140,481/x
  3. Step 3: Cross multiply
    66,352.50x = 140,481 × 140,481
  4. Step 4: Simplify right side
    66,352.50x = 19,734,911,361
  5. Step 5: Solve for x
    x = 19,734,911,361/66,352.50
  6. Step 6: Final answer
    x = 297,425.29

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.