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Finding the Third Proportional to 57,085 and 90,911

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Solution

The third proportional to 57,085 and 90,911 is: 144,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,085 : 90,911 = 90,911 : x
  2. Step 2: Convert to fraction form
    57,085/90,911 = 90,911/x
  3. Step 3: Cross multiply
    57,085x = 90,911 × 90,911
  4. Step 4: Simplify right side
    57,085x = 8,264,809,921
  5. Step 5: Solve for x
    x = 8,264,809,921/57,085
  6. Step 6: Final answer
    x = 144,780.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.