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Finding the Third Proportional to 71,288.44 and 99,663.75

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Solution

The third proportional to 71,288.44 and 99,663.75 is: 139,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288.44 : 99,663.75 = 99,663.75 : x
  2. Step 2: Convert to fraction form
    71,288.44/99,663.75 = 99,663.75/x
  3. Step 3: Cross multiply
    71,288.44x = 99,663.75 × 99,663.75
  4. Step 4: Simplify right side
    71,288.44x = 9,932,863,064.06
  5. Step 5: Solve for x
    x = 9,932,863,064.06/71,288.44
  6. Step 6: Final answer
    x = 139,333.44

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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.