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Finding the Third Proportional to 1,970.16 and 4,239.28

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Solution

The third proportional to 1,970.16 and 4,239.28 is: 9,121.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,970.16 : 4,239.28 = 4,239.28 : x
  2. Step 2: Convert to fraction form
    1,970.16/4,239.28 = 4,239.28/x
  3. Step 3: Cross multiply
    1,970.16x = 4,239.28 × 4,239.28
  4. Step 4: Simplify right side
    1,970.16x = 17,971,505.52
  5. Step 5: Solve for x
    x = 17,971,505.52/1,970.16
  6. Step 6: Final answer
    x = 9,121.87

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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.