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Finding the Third Proportional to 102,138 and 221,604

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Solution

The third proportional to 102,138 and 221,604 is: 480,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,138 : 221,604 = 221,604 : x
  2. Step 2: Convert to fraction form
    102,138/221,604 = 221,604/x
  3. Step 3: Cross multiply
    102,138x = 221,604 × 221,604
  4. Step 4: Simplify right side
    102,138x = 49,108,332,816
  5. Step 5: Solve for x
    x = 49,108,332,816/102,138
  6. Step 6: Final answer
    x = 480,803.74

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.