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Finding the Third Proportional to 270,552 and 428,389

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Solution

The third proportional to 270,552 and 428,389 is: 678,306.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,552 : 428,389 = 428,389 : x
  2. Step 2: Convert to fraction form
    270,552/428,389 = 428,389/x
  3. Step 3: Cross multiply
    270,552x = 428,389 × 428,389
  4. Step 4: Simplify right side
    270,552x = 183,517,135,321
  5. Step 5: Solve for x
    x = 183,517,135,321/270,552
  6. Step 6: Final answer
    x = 678,306.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.