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Finding the Third Proportional to 305.65 and 671.10

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Solution

The third proportional to 305.65 and 671.10 is: 1,473.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.65 : 671.10 = 671.10 : x
  2. Step 2: Convert to fraction form
    305.65/671.10 = 671.10/x
  3. Step 3: Cross multiply
    305.65x = 671.10 × 671.10
  4. Step 4: Simplify right side
    305.65x = 450,372.06
  5. Step 5: Solve for x
    x = 450,372.06/305.65
  6. Step 6: Final answer
    x = 1,473.50

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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.