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Finding the Third Proportional to 142,436.92 and 303,941.74

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Solution

The third proportional to 142,436.92 and 303,941.74 is: 648,571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,436.92 : 303,941.74 = 303,941.74 : x
  2. Step 2: Convert to fraction form
    142,436.92/303,941.74 = 303,941.74/x
  3. Step 3: Cross multiply
    142,436.92x = 303,941.74 × 303,941.74
  4. Step 4: Simplify right side
    142,436.92x = 92,380,582,643.97
  5. Step 5: Solve for x
    x = 92,380,582,643.97/142,436.92
  6. Step 6: Final answer
    x = 648,571.90

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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.