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Finding the Third Proportional to 296.05 and 471.23

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Solution

The third proportional to 296.05 and 471.23 is: 750.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.05 : 471.23 = 471.23 : x
  2. Step 2: Convert to fraction form
    296.05/471.23 = 471.23/x
  3. Step 3: Cross multiply
    296.05x = 471.23 × 471.23
  4. Step 4: Simplify right side
    296.05x = 222,061.84
  5. Step 5: Solve for x
    x = 222,061.84/296.05
  6. Step 6: Final answer
    x = 750.08

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.