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Finding the Third Proportional to 9,127.50 and 19,074

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Solution

The third proportional to 9,127.50 and 19,074 is: 39,859.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,127.50 : 19,074 = 19,074 : x
  2. Step 2: Convert to fraction form
    9,127.50/19,074 = 19,074/x
  3. Step 3: Cross multiply
    9,127.50x = 19,074 × 19,074
  4. Step 4: Simplify right side
    9,127.50x = 363,817,476
  5. Step 5: Solve for x
    x = 363,817,476/9,127.50
  6. Step 6: Final answer
    x = 39,859.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.