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Finding the Third Proportional to 189,750 and 407,638.50

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Solution

The third proportional to 189,750 and 407,638.50 is: 875,726.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,750 : 407,638.50 = 407,638.50 : x
  2. Step 2: Convert to fraction form
    189,750/407,638.50 = 407,638.50/x
  3. Step 3: Cross multiply
    189,750x = 407,638.50 × 407,638.50
  4. Step 4: Simplify right side
    189,750x = 166,169,146,682.25
  5. Step 5: Solve for x
    x = 166,169,146,682.25/189,750
  6. Step 6: Final answer
    x = 875,726.73

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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.