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Finding the Third Proportional to 96,508.50 and 146,403

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Solution

The third proportional to 96,508.50 and 146,403 is: 222,092.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,508.50 : 146,403 = 146,403 : x
  2. Step 2: Convert to fraction form
    96,508.50/146,403 = 146,403/x
  3. Step 3: Cross multiply
    96,508.50x = 146,403 × 146,403
  4. Step 4: Simplify right side
    96,508.50x = 21,433,838,409
  5. Step 5: Solve for x
    x = 21,433,838,409/96,508.50
  6. Step 6: Final answer
    x = 222,092.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.