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Finding the Third Proportional to 189,564 and 400,872

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Solution

The third proportional to 189,564 and 400,872 is: 847,726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,564 : 400,872 = 400,872 : x
  2. Step 2: Convert to fraction form
    189,564/400,872 = 400,872/x
  3. Step 3: Cross multiply
    189,564x = 400,872 × 400,872
  4. Step 4: Simplify right side
    189,564x = 160,698,360,384
  5. Step 5: Solve for x
    x = 160,698,360,384/189,564
  6. Step 6: Final answer
    x = 847,726.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.