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Finding the Third Proportional to 317,084 and 660,412

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Solution

The third proportional to 317,084 and 660,412 is: 1,375,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,084 : 660,412 = 660,412 : x
  2. Step 2: Convert to fraction form
    317,084/660,412 = 660,412/x
  3. Step 3: Cross multiply
    317,084x = 660,412 × 660,412
  4. Step 4: Simplify right side
    317,084x = 436,144,009,744
  5. Step 5: Solve for x
    x = 436,144,009,744/317,084
  6. Step 6: Final answer
    x = 1,375,484.13

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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.