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Finding the Third Proportional to 464.91 and 728.16

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Solution

The third proportional to 464.91 and 728.16 is: 1,140.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 728.16 = 728.16 : x
  2. Step 2: Convert to fraction form
    464.91/728.16 = 728.16/x
  3. Step 3: Cross multiply
    464.91x = 728.16 × 728.16
  4. Step 4: Simplify right side
    464.91x = 530,211.52
  5. Step 5: Solve for x
    x = 530,211.52/464.91
  6. Step 6: Final answer
    x = 1,140.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.