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Finding the Third Proportional to 87,690 and 191,776

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Solution

The third proportional to 87,690 and 191,776 is: 419,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,690 : 191,776 = 191,776 : x
  2. Step 2: Convert to fraction form
    87,690/191,776 = 191,776/x
  3. Step 3: Cross multiply
    87,690x = 191,776 × 191,776
  4. Step 4: Simplify right side
    87,690x = 36,778,034,176
  5. Step 5: Solve for x
    x = 36,778,034,176/87,690
  6. Step 6: Final answer
    x = 419,409.67

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.