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Finding the Third Proportional to 140,206 and 304,072

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Solution

The third proportional to 140,206 and 304,072 is: 659,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,206 : 304,072 = 304,072 : x
  2. Step 2: Convert to fraction form
    140,206/304,072 = 304,072/x
  3. Step 3: Cross multiply
    140,206x = 304,072 × 304,072
  4. Step 4: Simplify right side
    140,206x = 92,459,781,184
  5. Step 5: Solve for x
    x = 92,459,781,184/140,206
  6. Step 6: Final answer
    x = 659,456.67

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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.