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Finding the Third Proportional to 51,987 and 74,344

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Solution

The third proportional to 51,987 and 74,344 is: 106,315.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,987 : 74,344 = 74,344 : x
  2. Step 2: Convert to fraction form
    51,987/74,344 = 74,344/x
  3. Step 3: Cross multiply
    51,987x = 74,344 × 74,344
  4. Step 4: Simplify right side
    51,987x = 5,527,030,336
  5. Step 5: Solve for x
    x = 5,527,030,336/51,987
  6. Step 6: Final answer
    x = 106,315.62

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.