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Finding the Third Proportional to 38,972 and 84,502

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Solution

The third proportional to 38,972 and 84,502 is: 183,223.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,972 : 84,502 = 84,502 : x
  2. Step 2: Convert to fraction form
    38,972/84,502 = 84,502/x
  3. Step 3: Cross multiply
    38,972x = 84,502 × 84,502
  4. Step 4: Simplify right side
    38,972x = 7,140,588,004
  5. Step 5: Solve for x
    x = 7,140,588,004/38,972
  6. Step 6: Final answer
    x = 183,223.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.