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Finding the Third Proportional to 265,178 and 401,619

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Solution

The third proportional to 265,178 and 401,619 is: 608,262.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,178 : 401,619 = 401,619 : x
  2. Step 2: Convert to fraction form
    265,178/401,619 = 401,619/x
  3. Step 3: Cross multiply
    265,178x = 401,619 × 401,619
  4. Step 4: Simplify right side
    265,178x = 161,297,821,161
  5. Step 5: Solve for x
    x = 161,297,821,161/265,178
  6. Step 6: Final answer
    x = 608,262.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.