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Finding the Third Proportional to 57,088 and 90,917

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Solution

The third proportional to 57,088 and 90,917 is: 144,792.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,088 : 90,917 = 90,917 : x
  2. Step 2: Convert to fraction form
    57,088/90,917 = 90,917/x
  3. Step 3: Cross multiply
    57,088x = 90,917 × 90,917
  4. Step 4: Simplify right side
    57,088x = 8,265,900,889
  5. Step 5: Solve for x
    x = 8,265,900,889/57,088
  6. Step 6: Final answer
    x = 144,792.27

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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.