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Finding the Third Proportional to 310,612 and 679,380

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Solution

The third proportional to 310,612 and 679,380 is: 1,485,960.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,612 : 679,380 = 679,380 : x
  2. Step 2: Convert to fraction form
    310,612/679,380 = 679,380/x
  3. Step 3: Cross multiply
    310,612x = 679,380 × 679,380
  4. Step 4: Simplify right side
    310,612x = 461,557,184,400
  5. Step 5: Solve for x
    x = 461,557,184,400/310,612
  6. Step 6: Final answer
    x = 1,485,960.57

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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.