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Finding the Third Proportional to 203,129.50 and 432,503

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Solution

The third proportional to 203,129.50 and 432,503 is: 920,884.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,129.50 : 432,503 = 432,503 : x
  2. Step 2: Convert to fraction form
    203,129.50/432,503 = 432,503/x
  3. Step 3: Cross multiply
    203,129.50x = 432,503 × 432,503
  4. Step 4: Simplify right side
    203,129.50x = 187,058,845,009
  5. Step 5: Solve for x
    x = 187,058,845,009/203,129.50
  6. Step 6: Final answer
    x = 920,884.68

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.