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Finding the Third Proportional to 203,136.75 and 437,490

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Solution

The third proportional to 203,136.75 and 437,490 is: 942,210.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,136.75 : 437,490 = 437,490 : x
  2. Step 2: Convert to fraction form
    203,136.75/437,490 = 437,490/x
  3. Step 3: Cross multiply
    203,136.75x = 437,490 × 437,490
  4. Step 4: Simplify right side
    203,136.75x = 191,397,500,100
  5. Step 5: Solve for x
    x = 191,397,500,100/203,136.75
  6. Step 6: Final answer
    x = 942,210.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.