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Finding the Third Proportional to 310,617 and 679,383

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Solution

The third proportional to 310,617 and 679,383 is: 1,485,949.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,617 : 679,383 = 679,383 : x
  2. Step 2: Convert to fraction form
    310,617/679,383 = 679,383/x
  3. Step 3: Cross multiply
    310,617x = 679,383 × 679,383
  4. Step 4: Simplify right side
    310,617x = 461,561,260,689
  5. Step 5: Solve for x
    x = 461,561,260,689/310,617
  6. Step 6: Final answer
    x = 1,485,949.77

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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.