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Finding the Third Proportional to 312,164 and 661,480

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Solution

The third proportional to 312,164 and 661,480 is: 1,401,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,164 : 661,480 = 661,480 : x
  2. Step 2: Convert to fraction form
    312,164/661,480 = 661,480/x
  3. Step 3: Cross multiply
    312,164x = 661,480 × 661,480
  4. Step 4: Simplify right side
    312,164x = 437,555,790,400
  5. Step 5: Solve for x
    x = 437,555,790,400/312,164
  6. Step 6: Final answer
    x = 1,401,685.62

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.