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Finding the Third Proportional to 219.47 and 473.53

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Solution

The third proportional to 219.47 and 473.53 is: 1,021.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.47 : 473.53 = 473.53 : x
  2. Step 2: Convert to fraction form
    219.47/473.53 = 473.53/x
  3. Step 3: Cross multiply
    219.47x = 473.53 × 473.53
  4. Step 4: Simplify right side
    219.47x = 224,231.84
  5. Step 5: Solve for x
    x = 224,231.84/219.47
  6. Step 6: Final answer
    x = 1,021.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.