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Finding the Third Proportional to 31,512 and 51,580

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Solution

The third proportional to 31,512 and 51,580 is: 84,428.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,512 : 51,580 = 51,580 : x
  2. Step 2: Convert to fraction form
    31,512/51,580 = 51,580/x
  3. Step 3: Cross multiply
    31,512x = 51,580 × 51,580
  4. Step 4: Simplify right side
    31,512x = 2,660,496,400
  5. Step 5: Solve for x
    x = 2,660,496,400/31,512
  6. Step 6: Final answer
    x = 84,428.04

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.