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Finding the Third Proportional to 180,055 and 392,508

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Solution

The third proportional to 180,055 and 392,508 is: 855,641.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,055 : 392,508 = 392,508 : x
  2. Step 2: Convert to fraction form
    180,055/392,508 = 392,508/x
  3. Step 3: Cross multiply
    180,055x = 392,508 × 392,508
  4. Step 4: Simplify right side
    180,055x = 154,062,530,064
  5. Step 5: Solve for x
    x = 154,062,530,064/180,055
  6. Step 6: Final answer
    x = 855,641.50

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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.