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Finding the Third Proportional to 191,976 and 285,964

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Solution

The third proportional to 191,976 and 285,964 is: 425,966.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,976 : 285,964 = 285,964 : x
  2. Step 2: Convert to fraction form
    191,976/285,964 = 285,964/x
  3. Step 3: Cross multiply
    191,976x = 285,964 × 285,964
  4. Step 4: Simplify right side
    191,976x = 81,775,409,296
  5. Step 5: Solve for x
    x = 81,775,409,296/191,976
  6. Step 6: Final answer
    x = 425,966.84

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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.