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Finding the Third Proportional to 138,246.75 and 298,363.50

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Solution

The third proportional to 138,246.75 and 298,363.50 is: 643,926.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,246.75 : 298,363.50 = 298,363.50 : x
  2. Step 2: Convert to fraction form
    138,246.75/298,363.50 = 298,363.50/x
  3. Step 3: Cross multiply
    138,246.75x = 298,363.50 × 298,363.50
  4. Step 4: Simplify right side
    138,246.75x = 89,020,778,132.25
  5. Step 5: Solve for x
    x = 89,020,778,132.25/138,246.75
  6. Step 6: Final answer
    x = 643,926.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.