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Finding the Third Proportional to 551.02 and 864.98

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Solution

The third proportional to 551.02 and 864.98 is: 1,357.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.02 : 864.98 = 864.98 : x
  2. Step 2: Convert to fraction form
    551.02/864.98 = 864.98/x
  3. Step 3: Cross multiply
    551.02x = 864.98 × 864.98
  4. Step 4: Simplify right side
    551.02x = 748,182.76
  5. Step 5: Solve for x
    x = 748,182.76/551.02
  6. Step 6: Final answer
    x = 1,357.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.