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Finding the Third Proportional to 387,804 and 558,543

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Solution

The third proportional to 387,804 and 558,543 is: 804,453.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,804 : 558,543 = 558,543 : x
  2. Step 2: Convert to fraction form
    387,804/558,543 = 558,543/x
  3. Step 3: Cross multiply
    387,804x = 558,543 × 558,543
  4. Step 4: Simplify right side
    387,804x = 311,970,282,849
  5. Step 5: Solve for x
    x = 311,970,282,849/387,804
  6. Step 6: Final answer
    x = 804,453.49

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.