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Finding the Third Proportional to 139,571 and 302,785

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Solution

The third proportional to 139,571 and 302,785 is: 656,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,571 : 302,785 = 302,785 : x
  2. Step 2: Convert to fraction form
    139,571/302,785 = 302,785/x
  3. Step 3: Cross multiply
    139,571x = 302,785 × 302,785
  4. Step 4: Simplify right side
    139,571x = 91,678,756,225
  5. Step 5: Solve for x
    x = 91,678,756,225/139,571
  6. Step 6: Final answer
    x = 656,861.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.