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Finding the Third Proportional to 285,562 and 401,127

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Solution

The third proportional to 285,562 and 401,127 is: 563,460.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,562 : 401,127 = 401,127 : x
  2. Step 2: Convert to fraction form
    285,562/401,127 = 401,127/x
  3. Step 3: Cross multiply
    285,562x = 401,127 × 401,127
  4. Step 4: Simplify right side
    285,562x = 160,902,870,129
  5. Step 5: Solve for x
    x = 160,902,870,129/285,562
  6. Step 6: Final answer
    x = 563,460.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.