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Finding the Third Proportional to 472.50 and 731.81

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Solution

The third proportional to 472.50 and 731.81 is: 1,133.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.50 : 731.81 = 731.81 : x
  2. Step 2: Convert to fraction form
    472.50/731.81 = 731.81/x
  3. Step 3: Cross multiply
    472.50x = 731.81 × 731.81
  4. Step 4: Simplify right side
    472.50x = 535,549.54
  5. Step 5: Solve for x
    x = 535,549.54/472.50
  6. Step 6: Final answer
    x = 1,133.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.