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Finding the Third Proportional to 99,919 and 217,460

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Solution

The third proportional to 99,919 and 217,460 is: 473,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,919 : 217,460 = 217,460 : x
  2. Step 2: Convert to fraction form
    99,919/217,460 = 217,460/x
  3. Step 3: Cross multiply
    99,919x = 217,460 × 217,460
  4. Step 4: Simplify right side
    99,919x = 47,288,851,600
  5. Step 5: Solve for x
    x = 47,288,851,600/99,919
  6. Step 6: Final answer
    x = 473,271.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.