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Finding the Third Proportional to 258,480 and 558,480

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Solution

The third proportional to 258,480 and 558,480 is: 1,206,669.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,480 : 558,480 = 558,480 : x
  2. Step 2: Convert to fraction form
    258,480/558,480 = 558,480/x
  3. Step 3: Cross multiply
    258,480x = 558,480 × 558,480
  4. Step 4: Simplify right side
    258,480x = 311,899,910,400
  5. Step 5: Solve for x
    x = 311,899,910,400/258,480
  6. Step 6: Final answer
    x = 1,206,669.42

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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.