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Finding the Third Proportional to 189,297 and 282,305.25

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Solution

The third proportional to 189,297 and 282,305.25 is: 421,011.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,297 : 282,305.25 = 282,305.25 : x
  2. Step 2: Convert to fraction form
    189,297/282,305.25 = 282,305.25/x
  3. Step 3: Cross multiply
    189,297x = 282,305.25 × 282,305.25
  4. Step 4: Simplify right side
    189,297x = 79,696,254,177.56
  5. Step 5: Solve for x
    x = 79,696,254,177.56/189,297
  6. Step 6: Final answer
    x = 421,011.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.