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Finding the Third Proportional to 317,078 and 660,400

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Solution

The third proportional to 317,078 and 660,400 is: 1,375,460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,078 : 660,400 = 660,400 : x
  2. Step 2: Convert to fraction form
    317,078/660,400 = 660,400/x
  3. Step 3: Cross multiply
    317,078x = 660,400 × 660,400
  4. Step 4: Simplify right side
    317,078x = 436,128,160,000
  5. Step 5: Solve for x
    x = 436,128,160,000/317,078
  6. Step 6: Final answer
    x = 1,375,460.17

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.