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Finding the Third Proportional to 137,870 and 221,202

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Solution

The third proportional to 137,870 and 221,202 is: 354,901.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,870 : 221,202 = 221,202 : x
  2. Step 2: Convert to fraction form
    137,870/221,202 = 221,202/x
  3. Step 3: Cross multiply
    137,870x = 221,202 × 221,202
  4. Step 4: Simplify right side
    137,870x = 48,930,324,804
  5. Step 5: Solve for x
    x = 48,930,324,804/137,870
  6. Step 6: Final answer
    x = 354,901.90

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.