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Finding the Third Proportional to 1,972.36 and 4,242.65

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Solution

The third proportional to 1,972.36 and 4,242.65 is: 9,126.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,972.36 : 4,242.65 = 4,242.65 : x
  2. Step 2: Convert to fraction form
    1,972.36/4,242.65 = 4,242.65/x
  3. Step 3: Cross multiply
    1,972.36x = 4,242.65 × 4,242.65
  4. Step 4: Simplify right side
    1,972.36x = 18,000,094.77
  5. Step 5: Solve for x
    x = 18,000,094.77/1,972.36
  6. Step 6: Final answer
    x = 9,126.18

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.