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Finding the Third Proportional to 512,682.75 and 810,766.13

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Solution

The third proportional to 512,682.75 and 810,766.13 is: 1,282,160.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,682.75 : 810,766.13 = 810,766.13 : x
  2. Step 2: Convert to fraction form
    512,682.75/810,766.13 = 810,766.13/x
  3. Step 3: Cross multiply
    512,682.75x = 810,766.13 × 810,766.13
  4. Step 4: Simplify right side
    512,682.75x = 657,341,709,447.52
  5. Step 5: Solve for x
    x = 657,341,709,447.52/512,682.75
  6. Step 6: Final answer
    x = 1,282,160.77

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.