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Finding the Third Proportional to 45,294 and 74,859.75

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Solution

The third proportional to 45,294 and 74,859.75 is: 123,724.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,294 : 74,859.75 = 74,859.75 : x
  2. Step 2: Convert to fraction form
    45,294/74,859.75 = 74,859.75/x
  3. Step 3: Cross multiply
    45,294x = 74,859.75 × 74,859.75
  4. Step 4: Simplify right side
    45,294x = 5,603,982,170.06
  5. Step 5: Solve for x
    x = 5,603,982,170.06/45,294
  6. Step 6: Final answer
    x = 123,724.60

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.