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Finding the Third Proportional to 99,728 and 216,071

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Solution

The third proportional to 99,728 and 216,071 is: 468,140.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,728 : 216,071 = 216,071 : x
  2. Step 2: Convert to fraction form
    99,728/216,071 = 216,071/x
  3. Step 3: Cross multiply
    99,728x = 216,071 × 216,071
  4. Step 4: Simplify right side
    99,728x = 46,686,677,041
  5. Step 5: Solve for x
    x = 46,686,677,041/99,728
  6. Step 6: Final answer
    x = 468,140.11

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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.