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Finding the Third Proportional to 189,306 and 407,772

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Solution

The third proportional to 189,306 and 407,772 is: 878,355.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,306 : 407,772 = 407,772 : x
  2. Step 2: Convert to fraction form
    189,306/407,772 = 407,772/x
  3. Step 3: Cross multiply
    189,306x = 407,772 × 407,772
  4. Step 4: Simplify right side
    189,306x = 166,278,003,984
  5. Step 5: Solve for x
    x = 166,278,003,984/189,306
  6. Step 6: Final answer
    x = 878,355.70

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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.