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Finding the Third Proportional to 38,428 and 56,172

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Solution

The third proportional to 38,428 and 56,172 is: 82,109.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,428 : 56,172 = 56,172 : x
  2. Step 2: Convert to fraction form
    38,428/56,172 = 56,172/x
  3. Step 3: Cross multiply
    38,428x = 56,172 × 56,172
  4. Step 4: Simplify right side
    38,428x = 3,155,293,584
  5. Step 5: Solve for x
    x = 3,155,293,584/38,428
  6. Step 6: Final answer
    x = 82,109.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.