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Finding the Third Proportional to 907.69 and 1,979.12

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Solution

The third proportional to 907.69 and 1,979.12 is: 4,315.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    907.69 : 1,979.12 = 1,979.12 : x
  2. Step 2: Convert to fraction form
    907.69/1,979.12 = 1,979.12/x
  3. Step 3: Cross multiply
    907.69x = 1,979.12 × 1,979.12
  4. Step 4: Simplify right side
    907.69x = 3,916,920.30
  5. Step 5: Solve for x
    x = 3,916,920.30/907.69
  6. Step 6: Final answer
    x = 4,315.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.