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Finding the Third Proportional to 317,322 and 660,888

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Solution

The third proportional to 317,322 and 660,888 is: 1,376,434.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,322 : 660,888 = 660,888 : x
  2. Step 2: Convert to fraction form
    317,322/660,888 = 660,888/x
  3. Step 3: Cross multiply
    317,322x = 660,888 × 660,888
  4. Step 4: Simplify right side
    317,322x = 436,772,948,544
  5. Step 5: Solve for x
    x = 436,772,948,544/317,322
  6. Step 6: Final answer
    x = 1,376,434.50

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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.