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Finding the Third Proportional to 31,397 and 47,165.75

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Solution

The third proportional to 31,397 and 47,165.75 is: 70,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,397 : 47,165.75 = 47,165.75 : x
  2. Step 2: Convert to fraction form
    31,397/47,165.75 = 47,165.75/x
  3. Step 3: Cross multiply
    31,397x = 47,165.75 × 47,165.75
  4. Step 4: Simplify right side
    31,397x = 2,224,607,973.06
  5. Step 5: Solve for x
    x = 2,224,607,973.06/31,397
  6. Step 6: Final answer
    x = 70,854.16

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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.