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Finding the Third Proportional to 90,289 and 120,792

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Solution

The third proportional to 90,289 and 120,792 is: 161,600.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,289 : 120,792 = 120,792 : x
  2. Step 2: Convert to fraction form
    90,289/120,792 = 120,792/x
  3. Step 3: Cross multiply
    90,289x = 120,792 × 120,792
  4. Step 4: Simplify right side
    90,289x = 14,590,707,264
  5. Step 5: Solve for x
    x = 14,590,707,264/90,289
  6. Step 6: Final answer
    x = 161,600.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.