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Finding the Third Proportional to 191,958 and 287,973

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Solution

The third proportional to 191,958 and 287,973 is: 432,013.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,958 : 287,973 = 287,973 : x
  2. Step 2: Convert to fraction form
    191,958/287,973 = 287,973/x
  3. Step 3: Cross multiply
    191,958x = 287,973 × 287,973
  4. Step 4: Simplify right side
    191,958x = 82,928,448,729
  5. Step 5: Solve for x
    x = 82,928,448,729/191,958
  6. Step 6: Final answer
    x = 432,013.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.