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Finding the Third Proportional to 10,228.78 and 19,159.03

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Solution

The third proportional to 10,228.78 and 19,159.03 is: 35,885.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,228.78 : 19,159.03 = 19,159.03 : x
  2. Step 2: Convert to fraction form
    10,228.78/19,159.03 = 19,159.03/x
  3. Step 3: Cross multiply
    10,228.78x = 19,159.03 × 19,159.03
  4. Step 4: Simplify right side
    10,228.78x = 367,068,478.44
  5. Step 5: Solve for x
    x = 367,068,478.44/10,228.78
  6. Step 6: Final answer
    x = 35,885.85

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.