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Finding the Third Proportional to 746.72 and 1,535.20

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Solution

The third proportional to 746.72 and 1,535.20 is: 3,156.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.72 : 1,535.20 = 1,535.20 : x
  2. Step 2: Convert to fraction form
    746.72/1,535.20 = 1,535.20/x
  3. Step 3: Cross multiply
    746.72x = 1,535.20 × 1,535.20
  4. Step 4: Simplify right side
    746.72x = 2,356,848.64
  5. Step 5: Solve for x
    x = 2,356,848.64/746.72
  6. Step 6: Final answer
    x = 3,156.27

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.