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Finding the Third Proportional to 310,632 and 679,420

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Solution

The third proportional to 310,632 and 679,420 is: 1,486,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,632 : 679,420 = 679,420 : x
  2. Step 2: Convert to fraction form
    310,632/679,420 = 679,420/x
  3. Step 3: Cross multiply
    310,632x = 679,420 × 679,420
  4. Step 4: Simplify right side
    310,632x = 461,611,536,400
  5. Step 5: Solve for x
    x = 461,611,536,400/310,632
  6. Step 6: Final answer
    x = 1,486,039.87

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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.