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Finding the Third Proportional to 317,314.50 and 660,872.63

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Solution

The third proportional to 317,314.50 and 660,872.63 is: 1,376,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,314.50 : 660,872.63 = 660,872.63 : x
  2. Step 2: Convert to fraction form
    317,314.50/660,872.63 = 660,872.63/x
  3. Step 3: Cross multiply
    317,314.50x = 660,872.63 × 660,872.63
  4. Step 4: Simplify right side
    317,314.50x = 436,752,626,474.39
  5. Step 5: Solve for x
    x = 436,752,626,474.39/317,314.50
  6. Step 6: Final answer
    x = 1,376,402.99

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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.