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Finding the Third Proportional to 121,330.13 and 263,619

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Solution

The third proportional to 121,330.13 and 263,619 is: 572,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,330.13 : 263,619 = 263,619 : x
  2. Step 2: Convert to fraction form
    121,330.13/263,619 = 263,619/x
  3. Step 3: Cross multiply
    121,330.13x = 263,619 × 263,619
  4. Step 4: Simplify right side
    121,330.13x = 69,494,977,161
  5. Step 5: Solve for x
    x = 69,494,977,161/121,330.13
  6. Step 6: Final answer
    x = 572,775.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.