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Finding the Third Proportional to 85,416 and 186,921

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Solution

The third proportional to 85,416 and 186,921 is: 409,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,416 : 186,921 = 186,921 : x
  2. Step 2: Convert to fraction form
    85,416/186,921 = 186,921/x
  3. Step 3: Cross multiply
    85,416x = 186,921 × 186,921
  4. Step 4: Simplify right side
    85,416x = 34,939,460,241
  5. Step 5: Solve for x
    x = 34,939,460,241/85,416
  6. Step 6: Final answer
    x = 409,050.53

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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.