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Finding the Third Proportional to 131,439 and 200,410.50

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Solution

The third proportional to 131,439 and 200,410.50 is: 305,574.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,439 : 200,410.50 = 200,410.50 : x
  2. Step 2: Convert to fraction form
    131,439/200,410.50 = 200,410.50/x
  3. Step 3: Cross multiply
    131,439x = 200,410.50 × 200,410.50
  4. Step 4: Simplify right side
    131,439x = 40,164,368,510.25
  5. Step 5: Solve for x
    x = 40,164,368,510.25/131,439
  6. Step 6: Final answer
    x = 305,574.21

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.