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Finding the Third Proportional to 203,607 and 310,675.50

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Solution

The third proportional to 203,607 and 310,675.50 is: 474,046.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,607 : 310,675.50 = 310,675.50 : x
  2. Step 2: Convert to fraction form
    203,607/310,675.50 = 310,675.50/x
  3. Step 3: Cross multiply
    203,607x = 310,675.50 × 310,675.50
  4. Step 4: Simplify right side
    203,607x = 96,519,266,300.25
  5. Step 5: Solve for x
    x = 96,519,266,300.25/203,607
  6. Step 6: Final answer
    x = 474,046.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.