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Finding the Third Proportional to 474.61 and 757.90

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Solution

The third proportional to 474.61 and 757.90 is: 1,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.61 : 757.90 = 757.90 : x
  2. Step 2: Convert to fraction form
    474.61/757.90 = 757.90/x
  3. Step 3: Cross multiply
    474.61x = 757.90 × 757.90
  4. Step 4: Simplify right side
    474.61x = 574,410.04
  5. Step 5: Solve for x
    x = 574,410.04/474.61
  6. Step 6: Final answer
    x = 1,210.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.