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Finding the Third Proportional to 484.10 and 691.51

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Solution

The third proportional to 484.10 and 691.51 is: 987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    484.10 : 691.51 = 691.51 : x
  2. Step 2: Convert to fraction form
    484.10/691.51 = 691.51/x
  3. Step 3: Cross multiply
    484.10x = 691.51 × 691.51
  4. Step 4: Simplify right side
    484.10x = 478,180.35
  5. Step 5: Solve for x
    x = 478,180.35/484.10
  6. Step 6: Final answer
    x = 987.77

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.