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Finding the Third Proportional to 31,079.32 and 66,532.64

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Solution

The third proportional to 31,079.32 and 66,532.64 is: 142,428.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,079.32 : 66,532.64 = 66,532.64 : x
  2. Step 2: Convert to fraction form
    31,079.32/66,532.64 = 66,532.64/x
  3. Step 3: Cross multiply
    31,079.32x = 66,532.64 × 66,532.64
  4. Step 4: Simplify right side
    31,079.32x = 4,426,592,268.54
  5. Step 5: Solve for x
    x = 4,426,592,268.54/31,079.32
  6. Step 6: Final answer
    x = 142,428.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.