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Finding the Third Proportional to 310.59 and 646.78

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Solution

The third proportional to 310.59 and 646.78 is: 1,346.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.59 : 646.78 = 646.78 : x
  2. Step 2: Convert to fraction form
    310.59/646.78 = 646.78/x
  3. Step 3: Cross multiply
    310.59x = 646.78 × 646.78
  4. Step 4: Simplify right side
    310.59x = 418,325.99
  5. Step 5: Solve for x
    x = 418,325.99/310.59
  6. Step 6: Final answer
    x = 1,346.86

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.