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Finding the Third Proportional to 310,716 and 680,718

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Solution

The third proportional to 310,716 and 680,718 is: 1,491,320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,716 : 680,718 = 680,718 : x
  2. Step 2: Convert to fraction form
    310,716/680,718 = 680,718/x
  3. Step 3: Cross multiply
    310,716x = 680,718 × 680,718
  4. Step 4: Simplify right side
    310,716x = 463,376,995,524
  5. Step 5: Solve for x
    x = 463,376,995,524/310,716
  6. Step 6: Final answer
    x = 1,491,320.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.