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Finding the Third Proportional to 387,755 and 810,826

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Solution

The third proportional to 387,755 and 810,826 is: 1,695,500.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,755 : 810,826 = 810,826 : x
  2. Step 2: Convert to fraction form
    387,755/810,826 = 810,826/x
  3. Step 3: Cross multiply
    387,755x = 810,826 × 810,826
  4. Step 4: Simplify right side
    387,755x = 657,438,802,276
  5. Step 5: Solve for x
    x = 657,438,802,276/387,755
  6. Step 6: Final answer
    x = 1,695,500.52

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.