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Finding the Third Proportional to 139,017 and 303,518

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Solution

The third proportional to 139,017 and 303,518 is: 662,675.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,017 : 303,518 = 303,518 : x
  2. Step 2: Convert to fraction form
    139,017/303,518 = 303,518/x
  3. Step 3: Cross multiply
    139,017x = 303,518 × 303,518
  4. Step 4: Simplify right side
    139,017x = 92,123,176,324
  5. Step 5: Solve for x
    x = 92,123,176,324/139,017
  6. Step 6: Final answer
    x = 662,675.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.