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Finding the Third Proportional to 310,628 and 679,414

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Solution

The third proportional to 310,628 and 679,414 is: 1,486,032.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,628 : 679,414 = 679,414 : x
  2. Step 2: Convert to fraction form
    310,628/679,414 = 679,414/x
  3. Step 3: Cross multiply
    310,628x = 679,414 × 679,414
  4. Step 4: Simplify right side
    310,628x = 461,603,383,396
  5. Step 5: Solve for x
    x = 461,603,383,396/310,628
  6. Step 6: Final answer
    x = 1,486,032.76

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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.