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Finding the Third Proportional to 274,175 and 634,669

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Solution

The third proportional to 274,175 and 634,669 is: 1,469,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,175 : 634,669 = 634,669 : x
  2. Step 2: Convert to fraction form
    274,175/634,669 = 634,669/x
  3. Step 3: Cross multiply
    274,175x = 634,669 × 634,669
  4. Step 4: Simplify right side
    274,175x = 402,804,739,561
  5. Step 5: Solve for x
    x = 402,804,739,561/274,175
  6. Step 6: Final answer
    x = 1,469,151.96

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.