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Finding the Third Proportional to 90,318 and 140,646

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Solution

The third proportional to 90,318 and 140,646 is: 219,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,318 : 140,646 = 140,646 : x
  2. Step 2: Convert to fraction form
    90,318/140,646 = 140,646/x
  3. Step 3: Cross multiply
    90,318x = 140,646 × 140,646
  4. Step 4: Simplify right side
    90,318x = 19,781,297,316
  5. Step 5: Solve for x
    x = 19,781,297,316/90,318
  6. Step 6: Final answer
    x = 219,018.33

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.