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Finding the Third Proportional to 313,892 and 666,988

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Solution

The third proportional to 313,892 and 666,988 is: 1,417,280.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,892 : 666,988 = 666,988 : x
  2. Step 2: Convert to fraction form
    313,892/666,988 = 666,988/x
  3. Step 3: Cross multiply
    313,892x = 666,988 × 666,988
  4. Step 4: Simplify right side
    313,892x = 444,872,992,144
  5. Step 5: Solve for x
    x = 444,872,992,144/313,892
  6. Step 6: Final answer
    x = 1,417,280.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.