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Finding the Third Proportional to 191,972 and 285,958

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Solution

The third proportional to 191,972 and 285,958 is: 425,957.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,972 : 285,958 = 285,958 : x
  2. Step 2: Convert to fraction form
    191,972/285,958 = 285,958/x
  3. Step 3: Cross multiply
    191,972x = 285,958 × 285,958
  4. Step 4: Simplify right side
    191,972x = 81,771,977,764
  5. Step 5: Solve for x
    x = 81,771,977,764/191,972
  6. Step 6: Final answer
    x = 425,957.84

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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.