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Finding the Third Proportional to 306.56 and 473.77

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Solution

The third proportional to 306.56 and 473.77 is: 732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306.56 : 473.77 = 473.77 : x
  2. Step 2: Convert to fraction form
    306.56/473.77 = 473.77/x
  3. Step 3: Cross multiply
    306.56x = 473.77 × 473.77
  4. Step 4: Simplify right side
    306.56x = 224,453.87
  5. Step 5: Solve for x
    x = 224,453.87/306.56
  6. Step 6: Final answer
    x = 732.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.