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Finding the Third Proportional to 139,021 and 303,527

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Solution

The third proportional to 139,021 and 303,527 is: 662,695.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,021 : 303,527 = 303,527 : x
  2. Step 2: Convert to fraction form
    139,021/303,527 = 303,527/x
  3. Step 3: Cross multiply
    139,021x = 303,527 × 303,527
  4. Step 4: Simplify right side
    139,021x = 92,128,639,729
  5. Step 5: Solve for x
    x = 92,128,639,729/139,021
  6. Step 6: Final answer
    x = 662,695.85

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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.