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Finding the Third Proportional to 96,558 and 141,379.50

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Solution

The third proportional to 96,558 and 141,379.50 is: 207,006.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,558 : 141,379.50 = 141,379.50 : x
  2. Step 2: Convert to fraction form
    96,558/141,379.50 = 141,379.50/x
  3. Step 3: Cross multiply
    96,558x = 141,379.50 × 141,379.50
  4. Step 4: Simplify right side
    96,558x = 19,988,163,020.25
  5. Step 5: Solve for x
    x = 19,988,163,020.25/96,558
  6. Step 6: Final answer
    x = 207,006.80

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.