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Finding the Third Proportional to 387,771.05 and 837,803.25

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Solution

The third proportional to 387,771.05 and 837,803.25 is: 1,810,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,771.05 : 837,803.25 = 837,803.25 : x
  2. Step 2: Convert to fraction form
    387,771.05/837,803.25 = 837,803.25/x
  3. Step 3: Cross multiply
    387,771.05x = 837,803.25 × 837,803.25
  4. Step 4: Simplify right side
    387,771.05x = 701,914,285,710.56
  5. Step 5: Solve for x
    x = 701,914,285,710.56/387,771.05
  6. Step 6: Final answer
    x = 1,810,125.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.