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Finding the Third Proportional to 39,428 and 91,184

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Solution

The third proportional to 39,428 and 91,184 is: 210,878.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,428 : 91,184 = 91,184 : x
  2. Step 2: Convert to fraction form
    39,428/91,184 = 91,184/x
  3. Step 3: Cross multiply
    39,428x = 91,184 × 91,184
  4. Step 4: Simplify right side
    39,428x = 8,314,521,856
  5. Step 5: Solve for x
    x = 8,314,521,856/39,428
  6. Step 6: Final answer
    x = 210,878.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.