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Finding the Third Proportional to 387,727.50 and 837,721.50

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Solution

The third proportional to 387,727.50 and 837,721.50 is: 1,809,975.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,727.50 : 837,721.50 = 837,721.50 : x
  2. Step 2: Convert to fraction form
    387,727.50/837,721.50 = 837,721.50/x
  3. Step 3: Cross multiply
    387,727.50x = 837,721.50 × 837,721.50
  4. Step 4: Simplify right side
    387,727.50x = 701,777,311,562.25
  5. Step 5: Solve for x
    x = 701,777,311,562.25/387,727.50
  6. Step 6: Final answer
    x = 1,809,975.59

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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.