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Finding the Third Proportional to 135,233 and 288,559

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Solution

The third proportional to 135,233 and 288,559 is: 615,724.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,233 : 288,559 = 288,559 : x
  2. Step 2: Convert to fraction form
    135,233/288,559 = 288,559/x
  3. Step 3: Cross multiply
    135,233x = 288,559 × 288,559
  4. Step 4: Simplify right side
    135,233x = 83,266,296,481
  5. Step 5: Solve for x
    x = 83,266,296,481/135,233
  6. Step 6: Final answer
    x = 615,724.69

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.