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Finding the Third Proportional to 203,603 and 317,037.50

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Solution

The third proportional to 203,603 and 317,037.50 is: 493,670.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,603 : 317,037.50 = 317,037.50 : x
  2. Step 2: Convert to fraction form
    203,603/317,037.50 = 317,037.50/x
  3. Step 3: Cross multiply
    203,603x = 317,037.50 × 317,037.50
  4. Step 4: Simplify right side
    203,603x = 100,512,776,406.25
  5. Step 5: Solve for x
    x = 100,512,776,406.25/203,603
  6. Step 6: Final answer
    x = 493,670.41

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.