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Finding the Third Proportional to 101,808 and 216,072

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Solution

The third proportional to 101,808 and 216,072 is: 458,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,808 : 216,072 = 216,072 : x
  2. Step 2: Convert to fraction form
    101,808/216,072 = 216,072/x
  3. Step 3: Cross multiply
    101,808x = 216,072 × 216,072
  4. Step 4: Simplify right side
    101,808x = 46,687,109,184
  5. Step 5: Solve for x
    x = 46,687,109,184/101,808
  6. Step 6: Final answer
    x = 458,579.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.