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Finding the Third Proportional to 135,217 and 288,532

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Solution

The third proportional to 135,217 and 288,532 is: 615,682.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,217 : 288,532 = 288,532 : x
  2. Step 2: Convert to fraction form
    135,217/288,532 = 288,532/x
  3. Step 3: Cross multiply
    135,217x = 288,532 × 288,532
  4. Step 4: Simplify right side
    135,217x = 83,250,715,024
  5. Step 5: Solve for x
    x = 83,250,715,024/135,217
  6. Step 6: Final answer
    x = 615,682.31

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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.