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Finding the Third Proportional to 139,055 and 304,246

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Solution

The third proportional to 139,055 and 304,246 is: 665,676.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,055 : 304,246 = 304,246 : x
  2. Step 2: Convert to fraction form
    139,055/304,246 = 304,246/x
  3. Step 3: Cross multiply
    139,055x = 304,246 × 304,246
  4. Step 4: Simplify right side
    139,055x = 92,565,628,516
  5. Step 5: Solve for x
    x = 92,565,628,516/139,055
  6. Step 6: Final answer
    x = 665,676.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.