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Finding the Third Proportional to 290,327 and 401,178

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Solution

The third proportional to 290,327 and 401,178 is: 554,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,327 : 401,178 = 401,178 : x
  2. Step 2: Convert to fraction form
    290,327/401,178 = 401,178/x
  3. Step 3: Cross multiply
    290,327x = 401,178 × 401,178
  4. Step 4: Simplify right side
    290,327x = 160,943,787,684
  5. Step 5: Solve for x
    x = 160,943,787,684/290,327
  6. Step 6: Final answer
    x = 554,353.50

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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.