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Finding the Third Proportional to 102,148 and 218,191

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Solution

The third proportional to 102,148 and 218,191 is: 466,062.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,148 : 218,191 = 218,191 : x
  2. Step 2: Convert to fraction form
    102,148/218,191 = 218,191/x
  3. Step 3: Cross multiply
    102,148x = 218,191 × 218,191
  4. Step 4: Simplify right side
    102,148x = 47,607,312,481
  5. Step 5: Solve for x
    x = 47,607,312,481/102,148
  6. Step 6: Final answer
    x = 466,062.11

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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.