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Finding the Third Proportional to 387,807 and 810,750

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Solution

The third proportional to 387,807 and 810,750 is: 1,694,955.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,807 : 810,750 = 810,750 : x
  2. Step 2: Convert to fraction form
    387,807/810,750 = 810,750/x
  3. Step 3: Cross multiply
    387,807x = 810,750 × 810,750
  4. Step 4: Simplify right side
    387,807x = 657,315,562,500
  5. Step 5: Solve for x
    x = 657,315,562,500/387,807
  6. Step 6: Final answer
    x = 1,694,955.38

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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.