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Finding the Third Proportional to 72,196 and 106,872

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Solution

The third proportional to 72,196 and 106,872 is: 158,203.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,196 : 106,872 = 106,872 : x
  2. Step 2: Convert to fraction form
    72,196/106,872 = 106,872/x
  3. Step 3: Cross multiply
    72,196x = 106,872 × 106,872
  4. Step 4: Simplify right side
    72,196x = 11,421,624,384
  5. Step 5: Solve for x
    x = 11,421,624,384/72,196
  6. Step 6: Final answer
    x = 158,203.01

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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.