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Finding the Third Proportional to 178,542 and 371,879

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Solution

The third proportional to 178,542 and 371,879 is: 774,574.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,542 : 371,879 = 371,879 : x
  2. Step 2: Convert to fraction form
    178,542/371,879 = 371,879/x
  3. Step 3: Cross multiply
    178,542x = 371,879 × 371,879
  4. Step 4: Simplify right side
    178,542x = 138,293,990,641
  5. Step 5: Solve for x
    x = 138,293,990,641/178,542
  6. Step 6: Final answer
    x = 774,574.00

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.