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Finding the Third Proportional to 472.08 and 1,012.18

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Solution

The third proportional to 472.08 and 1,012.18 is: 2,170.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.08 : 1,012.18 = 1,012.18 : x
  2. Step 2: Convert to fraction form
    472.08/1,012.18 = 1,012.18/x
  3. Step 3: Cross multiply
    472.08x = 1,012.18 × 1,012.18
  4. Step 4: Simplify right side
    472.08x = 1,024,515.63
  5. Step 5: Solve for x
    x = 1,024,515.63/472.08
  6. Step 6: Final answer
    x = 2,170.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.