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Finding the Third Proportional to 99,728 and 215,312

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Solution

The third proportional to 99,728 and 215,312 is: 464,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,728 : 215,312 = 215,312 : x
  2. Step 2: Convert to fraction form
    99,728/215,312 = 215,312/x
  3. Step 3: Cross multiply
    99,728x = 215,312 × 215,312
  4. Step 4: Simplify right side
    99,728x = 46,359,257,344
  5. Step 5: Solve for x
    x = 46,359,257,344/99,728
  6. Step 6: Final answer
    x = 464,856.98

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.