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Finding the Third Proportional to 317,072 and 660,388

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Solution

The third proportional to 317,072 and 660,388 is: 1,375,436.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,072 : 660,388 = 660,388 : x
  2. Step 2: Convert to fraction form
    317,072/660,388 = 660,388/x
  3. Step 3: Cross multiply
    317,072x = 660,388 × 660,388
  4. Step 4: Simplify right side
    317,072x = 436,112,310,544
  5. Step 5: Solve for x
    x = 436,112,310,544/317,072
  6. Step 6: Final answer
    x = 1,375,436.21

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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.