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Finding the Third Proportional to 99,868 and 218,492

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Solution

The third proportional to 99,868 and 218,492 is: 478,018.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,868 : 218,492 = 218,492 : x
  2. Step 2: Convert to fraction form
    99,868/218,492 = 218,492/x
  3. Step 3: Cross multiply
    99,868x = 218,492 × 218,492
  4. Step 4: Simplify right side
    99,868x = 47,738,754,064
  5. Step 5: Solve for x
    x = 47,738,754,064/99,868
  6. Step 6: Final answer
    x = 478,018.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.