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Finding the Third Proportional to 472.34 and 734.13

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Solution

The third proportional to 472.34 and 734.13 is: 1,141.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.34 : 734.13 = 734.13 : x
  2. Step 2: Convert to fraction form
    472.34/734.13 = 734.13/x
  3. Step 3: Cross multiply
    472.34x = 734.13 × 734.13
  4. Step 4: Simplify right side
    472.34x = 538,950.99
  5. Step 5: Solve for x
    x = 538,950.99/472.34
  6. Step 6: Final answer
    x = 1,141.03

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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.