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Finding the Third Proportional to 320,006 and 495,615

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Solution

The third proportional to 320,006 and 495,615 is: 767,592.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,006 : 495,615 = 495,615 : x
  2. Step 2: Convert to fraction form
    320,006/495,615 = 495,615/x
  3. Step 3: Cross multiply
    320,006x = 495,615 × 495,615
  4. Step 4: Simplify right side
    320,006x = 245,634,228,225
  5. Step 5: Solve for x
    x = 245,634,228,225/320,006
  6. Step 6: Final answer
    x = 767,592.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.