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Finding the Third Proportional to 102,127 and 221,689

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Solution

The third proportional to 102,127 and 221,689 is: 481,224.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,127 : 221,689 = 221,689 : x
  2. Step 2: Convert to fraction form
    102,127/221,689 = 221,689/x
  3. Step 3: Cross multiply
    102,127x = 221,689 × 221,689
  4. Step 4: Simplify right side
    102,127x = 49,146,012,721
  5. Step 5: Solve for x
    x = 49,146,012,721/102,127
  6. Step 6: Final answer
    x = 481,224.48

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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.