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Finding the Third Proportional to 189,545 and 408,466

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Solution

The third proportional to 189,545 and 408,466 is: 880,236.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,545 : 408,466 = 408,466 : x
  2. Step 2: Convert to fraction form
    189,545/408,466 = 408,466/x
  3. Step 3: Cross multiply
    189,545x = 408,466 × 408,466
  4. Step 4: Simplify right side
    189,545x = 166,844,473,156
  5. Step 5: Solve for x
    x = 166,844,473,156/189,545
  6. Step 6: Final answer
    x = 880,236.74

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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.