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Finding the Third Proportional to 203,877 and 314,905.50

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Solution

The third proportional to 203,877 and 314,905.50 is: 486,398.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,877 : 314,905.50 = 314,905.50 : x
  2. Step 2: Convert to fraction form
    203,877/314,905.50 = 314,905.50/x
  3. Step 3: Cross multiply
    203,877x = 314,905.50 × 314,905.50
  4. Step 4: Simplify right side
    203,877x = 99,165,473,930.25
  5. Step 5: Solve for x
    x = 99,165,473,930.25/203,877
  6. Step 6: Final answer
    x = 486,398.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.