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Finding the Third Proportional to 102,141 and 218,178

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Solution

The third proportional to 102,141 and 218,178 is: 466,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,141 : 218,178 = 218,178 : x
  2. Step 2: Convert to fraction form
    102,141/218,178 = 218,178/x
  3. Step 3: Cross multiply
    102,141x = 218,178 × 218,178
  4. Step 4: Simplify right side
    102,141x = 47,601,639,684
  5. Step 5: Solve for x
    x = 47,601,639,684/102,141
  6. Step 6: Final answer
    x = 466,038.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.