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Finding the Third Proportional to 140,262 and 197,289

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Solution

The third proportional to 140,262 and 197,289 is: 277,501.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,262 : 197,289 = 197,289 : x
  2. Step 2: Convert to fraction form
    140,262/197,289 = 197,289/x
  3. Step 3: Cross multiply
    140,262x = 197,289 × 197,289
  4. Step 4: Simplify right side
    140,262x = 38,922,949,521
  5. Step 5: Solve for x
    x = 38,922,949,521/140,262
  6. Step 6: Final answer
    x = 277,501.74

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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.