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Finding the Third Proportional to 71,289 and 99,664

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Solution

The third proportional to 71,289 and 99,664 is: 139,333.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,289 : 99,664 = 99,664 : x
  2. Step 2: Convert to fraction form
    71,289/99,664 = 99,664/x
  3. Step 3: Cross multiply
    71,289x = 99,664 × 99,664
  4. Step 4: Simplify right side
    71,289x = 9,932,912,896
  5. Step 5: Solve for x
    x = 9,932,912,896/71,289
  6. Step 6: Final answer
    x = 139,333.04

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.