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Finding the Third Proportional to 270,216 and 585,142

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Solution

The third proportional to 270,216 and 585,142 is: 1,267,101.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,216 : 585,142 = 585,142 : x
  2. Step 2: Convert to fraction form
    270,216/585,142 = 585,142/x
  3. Step 3: Cross multiply
    270,216x = 585,142 × 585,142
  4. Step 4: Simplify right side
    270,216x = 342,391,160,164
  5. Step 5: Solve for x
    x = 342,391,160,164/270,216
  6. Step 6: Final answer
    x = 1,267,101.73

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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.