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Finding the Third Proportional to 225,519 and 495,678

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Solution

The third proportional to 225,519 and 495,678 is: 1,089,472.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,519 : 495,678 = 495,678 : x
  2. Step 2: Convert to fraction form
    225,519/495,678 = 495,678/x
  3. Step 3: Cross multiply
    225,519x = 495,678 × 495,678
  4. Step 4: Simplify right side
    225,519x = 245,696,679,684
  5. Step 5: Solve for x
    x = 245,696,679,684/225,519
  6. Step 6: Final answer
    x = 1,089,472.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.