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Finding the Third Proportional to 7,881.38 and 17,298.38

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Solution

The third proportional to 7,881.38 and 17,298.38 is: 37,967.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.38 : 17,298.38 = 17,298.38 : x
  2. Step 2: Convert to fraction form
    7,881.38/17,298.38 = 17,298.38/x
  3. Step 3: Cross multiply
    7,881.38x = 17,298.38 × 17,298.38
  4. Step 4: Simplify right side
    7,881.38x = 299,233,777.64
  5. Step 5: Solve for x
    x = 299,233,777.64/7,881.38
  6. Step 6: Final answer
    x = 37,967.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.