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Finding the Third Proportional to 155,548 and 247,623

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Solution

The third proportional to 155,548 and 247,623 is: 394,200.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,548 : 247,623 = 247,623 : x
  2. Step 2: Convert to fraction form
    155,548/247,623 = 247,623/x
  3. Step 3: Cross multiply
    155,548x = 247,623 × 247,623
  4. Step 4: Simplify right side
    155,548x = 61,317,150,129
  5. Step 5: Solve for x
    x = 61,317,150,129/155,548
  6. Step 6: Final answer
    x = 394,200.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.