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Finding the Third Proportional to 310,844 and 679,990

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Solution

The third proportional to 310,844 and 679,990 is: 1,487,519.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,844 : 679,990 = 679,990 : x
  2. Step 2: Convert to fraction form
    310,844/679,990 = 679,990/x
  3. Step 3: Cross multiply
    310,844x = 679,990 × 679,990
  4. Step 4: Simplify right side
    310,844x = 462,386,400,100
  5. Step 5: Solve for x
    x = 462,386,400,100/310,844
  6. Step 6: Final answer
    x = 1,487,519.14

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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.