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Finding the Third Proportional to 310,461 and 681,882

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Solution

The third proportional to 310,461 and 681,882 is: 1,497,653.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,461 : 681,882 = 681,882 : x
  2. Step 2: Convert to fraction form
    310,461/681,882 = 681,882/x
  3. Step 3: Cross multiply
    310,461x = 681,882 × 681,882
  4. Step 4: Simplify right side
    310,461x = 464,963,061,924
  5. Step 5: Solve for x
    x = 464,963,061,924/310,461
  6. Step 6: Final answer
    x = 1,497,653.69

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.