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Finding the Third Proportional to 142,406 and 303,220

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Solution

The third proportional to 142,406 and 303,220 is: 645,635.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,406 : 303,220 = 303,220 : x
  2. Step 2: Convert to fraction form
    142,406/303,220 = 303,220/x
  3. Step 3: Cross multiply
    142,406x = 303,220 × 303,220
  4. Step 4: Simplify right side
    142,406x = 91,942,368,400
  5. Step 5: Solve for x
    x = 91,942,368,400/142,406
  6. Step 6: Final answer
    x = 645,635.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.