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Finding the Third Proportional to 462.56 and 710.81

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Solution

The third proportional to 462.56 and 710.81 is: 1,092.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.56 : 710.81 = 710.81 : x
  2. Step 2: Convert to fraction form
    462.56/710.81 = 710.81/x
  3. Step 3: Cross multiply
    462.56x = 710.81 × 710.81
  4. Step 4: Simplify right side
    462.56x = 505,254.41
  5. Step 5: Solve for x
    x = 505,254.41/462.56
  6. Step 6: Final answer
    x = 1,092.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.