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Finding the Third Proportional to 90,345 and 134,211

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Solution

The third proportional to 90,345 and 134,211 is: 199,375.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,345 : 134,211 = 134,211 : x
  2. Step 2: Convert to fraction form
    90,345/134,211 = 134,211/x
  3. Step 3: Cross multiply
    90,345x = 134,211 × 134,211
  4. Step 4: Simplify right side
    90,345x = 18,012,592,521
  5. Step 5: Solve for x
    x = 18,012,592,521/90,345
  6. Step 6: Final answer
    x = 199,375.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.