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Finding the Third Proportional to 462.56 and 902.63

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Solution

The third proportional to 462.56 and 902.63 is: 1,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 902.63 = 902.63 : x
  2. Step 2: Convert to fraction form
    462.56/902.63 = 902.63/x
  3. Step 3: Cross multiply
    462.56x = 902.63 × 902.63
  4. Step 4: Simplify right side
    462.56x = 814,731.89
  5. Step 5: Solve for x
    x = 814,731.89/462.56
  6. Step 6: Final answer
    x = 1,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.