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Finding the Third Proportional to 521,689.50 and 1,099,416.75

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Solution

The third proportional to 521,689.50 and 1,099,416.75 is: 2,316,928.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,689.50 : 1,099,416.75 = 1,099,416.75 : x
  2. Step 2: Convert to fraction form
    521,689.50/1,099,416.75 = 1,099,416.75/x
  3. Step 3: Cross multiply
    521,689.50x = 1,099,416.75 × 1,099,416.75
  4. Step 4: Simplify right side
    521,689.50x = 1,208,717,190,180.56
  5. Step 5: Solve for x
    x = 1,208,717,190,180.56/521,689.50
  6. Step 6: Final answer
    x = 2,316,928.35

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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.