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Finding the Third Proportional to 476.72 and 728.58

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Solution

The third proportional to 476.72 and 728.58 is: 1,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.72 : 728.58 = 728.58 : x
  2. Step 2: Convert to fraction form
    476.72/728.58 = 728.58/x
  3. Step 3: Cross multiply
    476.72x = 728.58 × 728.58
  4. Step 4: Simplify right side
    476.72x = 530,826.08
  5. Step 5: Solve for x
    x = 530,826.08/476.72
  6. Step 6: Final answer
    x = 1,113.50

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.