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Finding the Third Proportional to 140,284 and 197,322

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Solution

The third proportional to 140,284 and 197,322 is: 277,551.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,284 : 197,322 = 197,322 : x
  2. Step 2: Convert to fraction form
    140,284/197,322 = 197,322/x
  3. Step 3: Cross multiply
    140,284x = 197,322 × 197,322
  4. Step 4: Simplify right side
    140,284x = 38,935,971,684
  5. Step 5: Solve for x
    x = 38,935,971,684/140,284
  6. Step 6: Final answer
    x = 277,551.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.