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Finding the Third Proportional to 138,386 and 197,211

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Solution

The third proportional to 138,386 and 197,211 is: 281,041.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,386 : 197,211 = 197,211 : x
  2. Step 2: Convert to fraction form
    138,386/197,211 = 197,211/x
  3. Step 3: Cross multiply
    138,386x = 197,211 × 197,211
  4. Step 4: Simplify right side
    138,386x = 38,892,178,521
  5. Step 5: Solve for x
    x = 38,892,178,521/138,386
  6. Step 6: Final answer
    x = 281,041.28

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.