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Finding the Third Proportional to 267,210 and 426,087

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Solution

The third proportional to 267,210 and 426,087 is: 679,428.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,210 : 426,087 = 426,087 : x
  2. Step 2: Convert to fraction form
    267,210/426,087 = 426,087/x
  3. Step 3: Cross multiply
    267,210x = 426,087 × 426,087
  4. Step 4: Simplify right side
    267,210x = 181,550,131,569
  5. Step 5: Solve for x
    x = 181,550,131,569/267,210
  6. Step 6: Final answer
    x = 679,428.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.