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Finding the Third Proportional to 387,810 and 810,756

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Solution

The third proportional to 387,810 and 810,756 is: 1,694,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,810 : 810,756 = 810,756 : x
  2. Step 2: Convert to fraction form
    387,810/810,756 = 810,756/x
  3. Step 3: Cross multiply
    387,810x = 810,756 × 810,756
  4. Step 4: Simplify right side
    387,810x = 657,325,291,536
  5. Step 5: Solve for x
    x = 657,325,291,536/387,810
  6. Step 6: Final answer
    x = 1,694,967.36

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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.