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Finding the Third Proportional to 312,758.75 and 517,664

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Solution

The third proportional to 312,758.75 and 517,664 is: 856,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,758.75 : 517,664 = 517,664 : x
  2. Step 2: Convert to fraction form
    312,758.75/517,664 = 517,664/x
  3. Step 3: Cross multiply
    312,758.75x = 517,664 × 517,664
  4. Step 4: Simplify right side
    312,758.75x = 267,976,016,896
  5. Step 5: Solve for x
    x = 267,976,016,896/312,758.75
  6. Step 6: Final answer
    x = 856,813.81

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.