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Finding the Third Proportional to 1,972.13 and 4,515.19

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Solution

The third proportional to 1,972.13 and 4,515.19 is: 10,337.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.13 : 4,515.19 = 4,515.19 : x
  2. Step 2: Convert to fraction form
    1,972.13/4,515.19 = 4,515.19/x
  3. Step 3: Cross multiply
    1,972.13x = 4,515.19 × 4,515.19
  4. Step 4: Simplify right side
    1,972.13x = 20,386,918.16
  5. Step 5: Solve for x
    x = 20,386,918.16/1,972.13
  6. Step 6: Final answer
    x = 10,337.54

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.