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Finding the Third Proportional to 317,324 and 660,896

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Solution

The third proportional to 317,324 and 660,896 is: 1,376,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,324 : 660,896 = 660,896 : x
  2. Step 2: Convert to fraction form
    317,324/660,896 = 660,896/x
  3. Step 3: Cross multiply
    317,324x = 660,896 × 660,896
  4. Step 4: Simplify right side
    317,324x = 436,783,522,816
  5. Step 5: Solve for x
    x = 436,783,522,816/317,324
  6. Step 6: Final answer
    x = 1,376,459.15

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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.