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Finding the Third Proportional to 220,869 and 299,466

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Solution

The third proportional to 220,869 and 299,466 is: 406,032.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,869 : 299,466 = 299,466 : x
  2. Step 2: Convert to fraction form
    220,869/299,466 = 299,466/x
  3. Step 3: Cross multiply
    220,869x = 299,466 × 299,466
  4. Step 4: Simplify right side
    220,869x = 89,679,885,156
  5. Step 5: Solve for x
    x = 89,679,885,156/220,869
  6. Step 6: Final answer
    x = 406,032.02

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.