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Finding the Third Proportional to 409,489.17 and 889,712.86

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Solution

The third proportional to 409,489.17 and 889,712.86 is: 1,933,113.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,489.17 : 889,712.86 = 889,712.86 : x
  2. Step 2: Convert to fraction form
    409,489.17/889,712.86 = 889,712.86/x
  3. Step 3: Cross multiply
    409,489.17x = 889,712.86 × 889,712.86
  4. Step 4: Simplify right side
    409,489.17x = 791,588,972,137.24
  5. Step 5: Solve for x
    x = 791,588,972,137.24/409,489.17
  6. Step 6: Final answer
    x = 1,933,113.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.