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Finding the Third Proportional to 65,626.88 and 98,418.38

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Solution

The third proportional to 65,626.88 and 98,418.38 is: 147,594.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,626.88 : 98,418.38 = 98,418.38 : x
  2. Step 2: Convert to fraction form
    65,626.88/98,418.38 = 98,418.38/x
  3. Step 3: Cross multiply
    65,626.88x = 98,418.38 × 98,418.38
  4. Step 4: Simplify right side
    65,626.88x = 9,686,176,537.64
  5. Step 5: Solve for x
    x = 9,686,176,537.64/65,626.88
  6. Step 6: Final answer
    x = 147,594.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.