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Finding the Third Proportional to 405,225.75 and 873,297

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Solution

The third proportional to 405,225.75 and 873,297 is: 1,882,031.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,225.75 : 873,297 = 873,297 : x
  2. Step 2: Convert to fraction form
    405,225.75/873,297 = 873,297/x
  3. Step 3: Cross multiply
    405,225.75x = 873,297 × 873,297
  4. Step 4: Simplify right side
    405,225.75x = 762,647,650,209
  5. Step 5: Solve for x
    x = 762,647,650,209/405,225.75
  6. Step 6: Final answer
    x = 1,882,031.56

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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.