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Finding the Third Proportional to 189,732 and 407,340

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Solution

The third proportional to 189,732 and 407,340 is: 874,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,732 : 407,340 = 407,340 : x
  2. Step 2: Convert to fraction form
    189,732/407,340 = 407,340/x
  3. Step 3: Cross multiply
    189,732x = 407,340 × 407,340
  4. Step 4: Simplify right side
    189,732x = 165,925,875,600
  5. Step 5: Solve for x
    x = 165,925,875,600/189,732
  6. Step 6: Final answer
    x = 874,527.63

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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.