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Finding the Third Proportional to 90,890 and 186,303

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Solution

The third proportional to 90,890 and 186,303 is: 381,877.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,890 : 186,303 = 186,303 : x
  2. Step 2: Convert to fraction form
    90,890/186,303 = 186,303/x
  3. Step 3: Cross multiply
    90,890x = 186,303 × 186,303
  4. Step 4: Simplify right side
    90,890x = 34,708,807,809
  5. Step 5: Solve for x
    x = 34,708,807,809/90,890
  6. Step 6: Final answer
    x = 381,877.08

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.