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Finding the Third Proportional to 401,069 and 867,586

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Solution

The third proportional to 401,069 and 867,586 is: 1,876,748.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,069 : 867,586 = 867,586 : x
  2. Step 2: Convert to fraction form
    401,069/867,586 = 867,586/x
  3. Step 3: Cross multiply
    401,069x = 867,586 × 867,586
  4. Step 4: Simplify right side
    401,069x = 752,705,467,396
  5. Step 5: Solve for x
    x = 752,705,467,396/401,069
  6. Step 6: Final answer
    x = 1,876,748.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.