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Finding the Third Proportional to 189,872 and 286,265.50

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Solution

The third proportional to 189,872 and 286,265.50 is: 431,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,872 : 286,265.50 = 286,265.50 : x
  2. Step 2: Convert to fraction form
    189,872/286,265.50 = 286,265.50/x
  3. Step 3: Cross multiply
    189,872x = 286,265.50 × 286,265.50
  4. Step 4: Simplify right side
    189,872x = 81,947,936,490.25
  5. Step 5: Solve for x
    x = 81,947,936,490.25/189,872
  6. Step 6: Final answer
    x = 431,595.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.