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Finding the Third Proportional to 51,840 and 71,388

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Solution

The third proportional to 51,840 and 71,388 is: 98,307.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,840 : 71,388 = 71,388 : x
  2. Step 2: Convert to fraction form
    51,840/71,388 = 71,388/x
  3. Step 3: Cross multiply
    51,840x = 71,388 × 71,388
  4. Step 4: Simplify right side
    51,840x = 5,096,246,544
  5. Step 5: Solve for x
    x = 5,096,246,544/51,840
  6. Step 6: Final answer
    x = 98,307.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.