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Finding the Third Proportional to 38,138 and 56,428

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Solution

The third proportional to 38,138 and 56,428 is: 83,489.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,138 : 56,428 = 56,428 : x
  2. Step 2: Convert to fraction form
    38,138/56,428 = 56,428/x
  3. Step 3: Cross multiply
    38,138x = 56,428 × 56,428
  4. Step 4: Simplify right side
    38,138x = 3,184,119,184
  5. Step 5: Solve for x
    x = 3,184,119,184/38,138
  6. Step 6: Final answer
    x = 83,489.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.