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Finding the Third Proportional to 486,009 and 654,261.75

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Solution

The third proportional to 486,009 and 654,261.75 is: 880,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,009 : 654,261.75 = 654,261.75 : x
  2. Step 2: Convert to fraction form
    486,009/654,261.75 = 654,261.75/x
  3. Step 3: Cross multiply
    486,009x = 654,261.75 × 654,261.75
  4. Step 4: Simplify right side
    486,009x = 428,058,437,513.06
  5. Step 5: Solve for x
    x = 428,058,437,513.06/486,009
  6. Step 6: Final answer
    x = 880,762.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.