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Finding the Third Proportional to 306.18 and 670.99

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Solution

The third proportional to 306.18 and 670.99 is: 1,470.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.18 : 670.99 = 670.99 : x
  2. Step 2: Convert to fraction form
    306.18/670.99 = 670.99/x
  3. Step 3: Cross multiply
    306.18x = 670.99 × 670.99
  4. Step 4: Simplify right side
    306.18x = 450,230.52
  5. Step 5: Solve for x
    x = 450,230.52/306.18
  6. Step 6: Final answer
    x = 1,470.50

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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.