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Finding the Third Proportional to 290,324 and 401,174

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Solution

The third proportional to 290,324 and 401,174 is: 554,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,324 : 401,174 = 401,174 : x
  2. Step 2: Convert to fraction form
    290,324/401,174 = 401,174/x
  3. Step 3: Cross multiply
    290,324x = 401,174 × 401,174
  4. Step 4: Simplify right side
    290,324x = 160,940,578,276
  5. Step 5: Solve for x
    x = 160,940,578,276/290,324
  6. Step 6: Final answer
    x = 554,348.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.