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Finding the Third Proportional to 258,542 and 540,508

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Solution

The third proportional to 258,542 and 540,508 is: 1,129,986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,542 : 540,508 = 540,508 : x
  2. Step 2: Convert to fraction form
    258,542/540,508 = 540,508/x
  3. Step 3: Cross multiply
    258,542x = 540,508 × 540,508
  4. Step 4: Simplify right side
    258,542x = 292,148,898,064
  5. Step 5: Solve for x
    x = 292,148,898,064/258,542
  6. Step 6: Final answer
    x = 1,129,986.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.