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Finding the Third Proportional to 310,630 and 679,418

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Solution

The third proportional to 310,630 and 679,418 is: 1,486,040.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,630 : 679,418 = 679,418 : x
  2. Step 2: Convert to fraction form
    310,630/679,418 = 679,418/x
  3. Step 3: Cross multiply
    310,630x = 679,418 × 679,418
  4. Step 4: Simplify right side
    310,630x = 461,608,818,724
  5. Step 5: Solve for x
    x = 461,608,818,724/310,630
  6. Step 6: Final answer
    x = 1,486,040.69

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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.