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Finding the Third Proportional to 189,479.25 and 409,363.88

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Solution

The third proportional to 189,479.25 and 409,363.88 is: 884,417.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,479.25 : 409,363.88 = 409,363.88 : x
  2. Step 2: Convert to fraction form
    189,479.25/409,363.88 = 409,363.88/x
  3. Step 3: Cross multiply
    189,479.25x = 409,363.88 × 409,363.88
  4. Step 4: Simplify right side
    189,479.25x = 167,578,782,155.02
  5. Step 5: Solve for x
    x = 167,578,782,155.02/189,479.25
  6. Step 6: Final answer
    x = 884,417.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.