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Finding the Third Proportional to 139,445 and 305,503

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Solution

The third proportional to 139,445 and 305,503 is: 669,311.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,445 : 305,503 = 305,503 : x
  2. Step 2: Convert to fraction form
    139,445/305,503 = 305,503/x
  3. Step 3: Cross multiply
    139,445x = 305,503 × 305,503
  4. Step 4: Simplify right side
    139,445x = 93,332,083,009
  5. Step 5: Solve for x
    x = 93,332,083,009/139,445
  6. Step 6: Final answer
    x = 669,311.08

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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.