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Finding the Third Proportional to 310,902 and 667,209

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Solution

The third proportional to 310,902 and 667,209 is: 1,431,859.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,902 : 667,209 = 667,209 : x
  2. Step 2: Convert to fraction form
    310,902/667,209 = 667,209/x
  3. Step 3: Cross multiply
    310,902x = 667,209 × 667,209
  4. Step 4: Simplify right side
    310,902x = 445,167,849,681
  5. Step 5: Solve for x
    x = 445,167,849,681/310,902
  6. Step 6: Final answer
    x = 1,431,859.07

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.