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Finding the Third Proportional to 96,290 and 140,868.50

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Solution

The third proportional to 96,290 and 140,868.50 is: 206,085.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,290 : 140,868.50 = 140,868.50 : x
  2. Step 2: Convert to fraction form
    96,290/140,868.50 = 140,868.50/x
  3. Step 3: Cross multiply
    96,290x = 140,868.50 × 140,868.50
  4. Step 4: Simplify right side
    96,290x = 19,843,934,292.25
  5. Step 5: Solve for x
    x = 19,843,934,292.25/96,290
  6. Step 6: Final answer
    x = 206,085.10

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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.