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Finding the Third Proportional to 31,615.13 and 66,152.25

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Solution

The third proportional to 31,615.13 and 66,152.25 is: 138,418.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,615.13 : 66,152.25 = 66,152.25 : x
  2. Step 2: Convert to fraction form
    31,615.13/66,152.25 = 66,152.25/x
  3. Step 3: Cross multiply
    31,615.13x = 66,152.25 × 66,152.25
  4. Step 4: Simplify right side
    31,615.13x = 4,376,120,180.06
  5. Step 5: Solve for x
    x = 4,376,120,180.06/31,615.13
  6. Step 6: Final answer
    x = 138,418.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.