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Finding the Third Proportional to 310,002 and 680,988

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Solution

The third proportional to 310,002 and 680,988 is: 1,495,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,002 : 680,988 = 680,988 : x
  2. Step 2: Convert to fraction form
    310,002/680,988 = 680,988/x
  3. Step 3: Cross multiply
    310,002x = 680,988 × 680,988
  4. Step 4: Simplify right side
    310,002x = 463,744,656,144
  5. Step 5: Solve for x
    x = 463,744,656,144/310,002
  6. Step 6: Final answer
    x = 1,495,940.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.