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Finding the Third Proportional to 164,172 and 247,191

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Solution

The third proportional to 164,172 and 247,191 is: 372,191.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,172 : 247,191 = 247,191 : x
  2. Step 2: Convert to fraction form
    164,172/247,191 = 247,191/x
  3. Step 3: Cross multiply
    164,172x = 247,191 × 247,191
  4. Step 4: Simplify right side
    164,172x = 61,103,390,481
  5. Step 5: Solve for x
    x = 61,103,390,481/164,172
  6. Step 6: Final answer
    x = 372,191.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.