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Finding the Third Proportional to 140,390 and 223,167

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Solution

The third proportional to 140,390 and 223,167 is: 354,751.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,390 : 223,167 = 223,167 : x
  2. Step 2: Convert to fraction form
    140,390/223,167 = 223,167/x
  3. Step 3: Cross multiply
    140,390x = 223,167 × 223,167
  4. Step 4: Simplify right side
    140,390x = 49,803,509,889
  5. Step 5: Solve for x
    x = 49,803,509,889/140,390
  6. Step 6: Final answer
    x = 354,751.12

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.