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Finding the Third Proportional to 1,979.06 and 4,235.06

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Solution

The third proportional to 1,979.06 and 4,235.06 is: 9,062.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,979.06 : 4,235.06 = 4,235.06 : x
  2. Step 2: Convert to fraction form
    1,979.06/4,235.06 = 4,235.06/x
  3. Step 3: Cross multiply
    1,979.06x = 4,235.06 × 4,235.06
  4. Step 4: Simplify right side
    1,979.06x = 17,935,754.38
  5. Step 5: Solve for x
    x = 17,935,754.38/1,979.06
  6. Step 6: Final answer
    x = 9,062.75

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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.