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Finding the Third Proportional to 202,350 and 437,120.50

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Solution

The third proportional to 202,350 and 437,120.50 is: 944,276.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,350 : 437,120.50 = 437,120.50 : x
  2. Step 2: Convert to fraction form
    202,350/437,120.50 = 437,120.50/x
  3. Step 3: Cross multiply
    202,350x = 437,120.50 × 437,120.50
  4. Step 4: Simplify right side
    202,350x = 191,074,331,520.25
  5. Step 5: Solve for x
    x = 191,074,331,520.25/202,350
  6. Step 6: Final answer
    x = 944,276.41

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.