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Finding the Third Proportional to 217,556 and 338,745

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Solution

The third proportional to 217,556 and 338,745 is: 527,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,556 : 338,745 = 338,745 : x
  2. Step 2: Convert to fraction form
    217,556/338,745 = 338,745/x
  3. Step 3: Cross multiply
    217,556x = 338,745 × 338,745
  4. Step 4: Simplify right side
    217,556x = 114,748,175,025
  5. Step 5: Solve for x
    x = 114,748,175,025/217,556
  6. Step 6: Final answer
    x = 527,442.02

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.