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Finding the Third Proportional to 458,116 and 685,058

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Solution

The third proportional to 458,116 and 685,058 is: 1,024,422.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,116 : 685,058 = 685,058 : x
  2. Step 2: Convert to fraction form
    458,116/685,058 = 685,058/x
  3. Step 3: Cross multiply
    458,116x = 685,058 × 685,058
  4. Step 4: Simplify right side
    458,116x = 469,304,463,364
  5. Step 5: Solve for x
    x = 469,304,463,364/458,116
  6. Step 6: Final answer
    x = 1,024,422.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.