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Finding the Third Proportional to 87,260 and 189,970

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Solution

The third proportional to 87,260 and 189,970 is: 413,575.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,260 : 189,970 = 189,970 : x
  2. Step 2: Convert to fraction form
    87,260/189,970 = 189,970/x
  3. Step 3: Cross multiply
    87,260x = 189,970 × 189,970
  4. Step 4: Simplify right side
    87,260x = 36,088,600,900
  5. Step 5: Solve for x
    x = 36,088,600,900/87,260
  6. Step 6: Final answer
    x = 413,575.53

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.