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Finding the Third Proportional to 310,878 and 680,886

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Solution

The third proportional to 310,878 and 680,886 is: 1,491,278.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,878 : 680,886 = 680,886 : x
  2. Step 2: Convert to fraction form
    310,878/680,886 = 680,886/x
  3. Step 3: Cross multiply
    310,878x = 680,886 × 680,886
  4. Step 4: Simplify right side
    310,878x = 463,605,744,996
  5. Step 5: Solve for x
    x = 463,605,744,996/310,878
  6. Step 6: Final answer
    x = 1,491,278.72

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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.