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Finding the Third Proportional to 91,840.50 and 140,481

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Solution

The third proportional to 91,840.50 and 140,481 is: 214,882.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,840.50 : 140,481 = 140,481 : x
  2. Step 2: Convert to fraction form
    91,840.50/140,481 = 140,481/x
  3. Step 3: Cross multiply
    91,840.50x = 140,481 × 140,481
  4. Step 4: Simplify right side
    91,840.50x = 19,734,911,361
  5. Step 5: Solve for x
    x = 19,734,911,361/91,840.50
  6. Step 6: Final answer
    x = 214,882.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.