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Finding the Third Proportional to 85,784 and 185,880

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Solution

The third proportional to 85,784 and 185,880 is: 402,771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,784 : 185,880 = 185,880 : x
  2. Step 2: Convert to fraction form
    85,784/185,880 = 185,880/x
  3. Step 3: Cross multiply
    85,784x = 185,880 × 185,880
  4. Step 4: Simplify right side
    85,784x = 34,551,374,400
  5. Step 5: Solve for x
    x = 34,551,374,400/85,784
  6. Step 6: Final answer
    x = 402,771.78

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.