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Finding the Third Proportional to 189,396 and 407,466

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Solution

The third proportional to 189,396 and 407,466 is: 876,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,396 : 407,466 = 407,466 : x
  2. Step 2: Convert to fraction form
    189,396/407,466 = 407,466/x
  3. Step 3: Cross multiply
    189,396x = 407,466 × 407,466
  4. Step 4: Simplify right side
    189,396x = 166,028,541,156
  5. Step 5: Solve for x
    x = 166,028,541,156/189,396
  6. Step 6: Final answer
    x = 876,621.16

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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.