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Finding the Third Proportional to 189,448 and 410,428

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Solution

The third proportional to 189,448 and 410,428 is: 889,168.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,448 : 410,428 = 410,428 : x
  2. Step 2: Convert to fraction form
    189,448/410,428 = 410,428/x
  3. Step 3: Cross multiply
    189,448x = 410,428 × 410,428
  4. Step 4: Simplify right side
    189,448x = 168,451,143,184
  5. Step 5: Solve for x
    x = 168,451,143,184/189,448
  6. Step 6: Final answer
    x = 889,168.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.