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Finding the Third Proportional to 355,698 and 542,581

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Solution

The third proportional to 355,698 and 542,581 is: 827,651.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,698 : 542,581 = 542,581 : x
  2. Step 2: Convert to fraction form
    355,698/542,581 = 542,581/x
  3. Step 3: Cross multiply
    355,698x = 542,581 × 542,581
  4. Step 4: Simplify right side
    355,698x = 294,394,141,561
  5. Step 5: Solve for x
    x = 294,394,141,561/355,698
  6. Step 6: Final answer
    x = 827,651.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.