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Finding the Third Proportional to 189,750 and 407,641

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Solution

The third proportional to 189,750 and 407,641 is: 875,737.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,750 : 407,641 = 407,641 : x
  2. Step 2: Convert to fraction form
    189,750/407,641 = 407,641/x
  3. Step 3: Cross multiply
    189,750x = 407,641 × 407,641
  4. Step 4: Simplify right side
    189,750x = 166,171,184,881
  5. Step 5: Solve for x
    x = 166,171,184,881/189,750
  6. Step 6: Final answer
    x = 875,737.47

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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.