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Finding the Third Proportional to 1,988.16 and 4,323.09

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Solution

The third proportional to 1,988.16 and 4,323.09 is: 9,400.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,988.16 : 4,323.09 = 4,323.09 : x
  2. Step 2: Convert to fraction form
    1,988.16/4,323.09 = 4,323.09/x
  3. Step 3: Cross multiply
    1,988.16x = 4,323.09 × 4,323.09
  4. Step 4: Simplify right side
    1,988.16x = 18,689,139.57
  5. Step 5: Solve for x
    x = 18,689,139.57/1,988.16
  6. Step 6: Final answer
    x = 9,400.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.