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Finding the Third Proportional to 139,497 and 303,905

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Solution

The third proportional to 139,497 and 303,905 is: 662,080.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,497 : 303,905 = 303,905 : x
  2. Step 2: Convert to fraction form
    139,497/303,905 = 303,905/x
  3. Step 3: Cross multiply
    139,497x = 303,905 × 303,905
  4. Step 4: Simplify right side
    139,497x = 92,358,249,025
  5. Step 5: Solve for x
    x = 92,358,249,025/139,497
  6. Step 6: Final answer
    x = 662,080.54

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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.