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Finding the Third Proportional to 310,662 and 665,560.13

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Solution

The third proportional to 310,662 and 665,560.13 is: 1,425,891.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,662 : 665,560.13 = 665,560.13 : x
  2. Step 2: Convert to fraction form
    310,662/665,560.13 = 665,560.13/x
  3. Step 3: Cross multiply
    310,662x = 665,560.13 × 665,560.13
  4. Step 4: Simplify right side
    310,662x = 442,970,279,990.02
  5. Step 5: Solve for x
    x = 442,970,279,990.02/310,662
  6. Step 6: Final answer
    x = 1,425,891.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.