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Finding the Third Proportional to 255,930 and 558,444

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Solution

The third proportional to 255,930 and 558,444 is: 1,218,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,930 : 558,444 = 558,444 : x
  2. Step 2: Convert to fraction form
    255,930/558,444 = 558,444/x
  3. Step 3: Cross multiply
    255,930x = 558,444 × 558,444
  4. Step 4: Simplify right side
    255,930x = 311,859,701,136
  5. Step 5: Solve for x
    x = 311,859,701,136/255,930
  6. Step 6: Final answer
    x = 1,218,535.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.