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Finding the Third Proportional to 225,811.13 and 309,643.88

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Solution

The third proportional to 225,811.13 and 309,643.88 is: 424,599.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,811.13 : 309,643.88 = 309,643.88 : x
  2. Step 2: Convert to fraction form
    225,811.13/309,643.88 = 309,643.88/x
  3. Step 3: Cross multiply
    225,811.13x = 309,643.88 × 309,643.88
  4. Step 4: Simplify right side
    225,811.13x = 95,879,329,325.02
  5. Step 5: Solve for x
    x = 95,879,329,325.02/225,811.13
  6. Step 6: Final answer
    x = 424,599.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.