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Finding the Third Proportional to 310,627 and 679,411

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Solution

The third proportional to 310,627 and 679,411 is: 1,486,024.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,627 : 679,411 = 679,411 : x
  2. Step 2: Convert to fraction form
    310,627/679,411 = 679,411/x
  3. Step 3: Cross multiply
    310,627x = 679,411 × 679,411
  4. Step 4: Simplify right side
    310,627x = 461,599,306,921
  5. Step 5: Solve for x
    x = 461,599,306,921/310,627
  6. Step 6: Final answer
    x = 1,486,024.42

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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.