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Finding the Third Proportional to 310,646 and 679,448

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Solution

The third proportional to 310,646 and 679,448 is: 1,486,095.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,646 : 679,448 = 679,448 : x
  2. Step 2: Convert to fraction form
    310,646/679,448 = 679,448/x
  3. Step 3: Cross multiply
    310,646x = 679,448 × 679,448
  4. Step 4: Simplify right side
    310,646x = 461,649,584,704
  5. Step 5: Solve for x
    x = 461,649,584,704/310,646
  6. Step 6: Final answer
    x = 1,486,095.38

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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.