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Finding the Third Proportional to 99,972 and 216,891

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Solution

The third proportional to 99,972 and 216,891 is: 470,548.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,972 : 216,891 = 216,891 : x
  2. Step 2: Convert to fraction form
    99,972/216,891 = 216,891/x
  3. Step 3: Cross multiply
    99,972x = 216,891 × 216,891
  4. Step 4: Simplify right side
    99,972x = 47,041,705,881
  5. Step 5: Solve for x
    x = 47,041,705,881/99,972
  6. Step 6: Final answer
    x = 470,548.81

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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.