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Finding the Third Proportional to 135,228 and 288,556

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Solution

The third proportional to 135,228 and 288,556 is: 615,734.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,228 : 288,556 = 288,556 : x
  2. Step 2: Convert to fraction form
    135,228/288,556 = 288,556/x
  3. Step 3: Cross multiply
    135,228x = 288,556 × 288,556
  4. Step 4: Simplify right side
    135,228x = 83,264,565,136
  5. Step 5: Solve for x
    x = 83,264,565,136/135,228
  6. Step 6: Final answer
    x = 615,734.65

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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.