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Finding the Third Proportional to 180,035 and 387,772

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Solution

The third proportional to 180,035 and 387,772 is: 835,210.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,035 : 387,772 = 387,772 : x
  2. Step 2: Convert to fraction form
    180,035/387,772 = 387,772/x
  3. Step 3: Cross multiply
    180,035x = 387,772 × 387,772
  4. Step 4: Simplify right side
    180,035x = 150,367,123,984
  5. Step 5: Solve for x
    x = 150,367,123,984/180,035
  6. Step 6: Final answer
    x = 835,210.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.