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Finding the Third Proportional to 253,278 and 401,058

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Solution

The third proportional to 253,278 and 401,058 is: 635,063.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,278 : 401,058 = 401,058 : x
  2. Step 2: Convert to fraction form
    253,278/401,058 = 401,058/x
  3. Step 3: Cross multiply
    253,278x = 401,058 × 401,058
  4. Step 4: Simplify right side
    253,278x = 160,847,519,364
  5. Step 5: Solve for x
    x = 160,847,519,364/253,278
  6. Step 6: Final answer
    x = 635,063.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.