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Finding the Third Proportional to 307.63 and 471.13

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Solution

The third proportional to 307.63 and 471.13 is: 721.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    307.63 : 471.13 = 471.13 : x
  2. Step 2: Convert to fraction form
    307.63/471.13 = 471.13/x
  3. Step 3: Cross multiply
    307.63x = 471.13 × 471.13
  4. Step 4: Simplify right side
    307.63x = 221,958.77
  5. Step 5: Solve for x
    x = 221,958.77/307.63
  6. Step 6: Final answer
    x = 721.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.