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Finding the Third Proportional to 216,856.13 and 469,910.81

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Solution

The third proportional to 216,856.13 and 469,910.81 is: 1,018,261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,856.13 : 469,910.81 = 469,910.81 : x
  2. Step 2: Convert to fraction form
    216,856.13/469,910.81 = 469,910.81/x
  3. Step 3: Cross multiply
    216,856.13x = 469,910.81 × 469,910.81
  4. Step 4: Simplify right side
    216,856.13x = 220,816,171,704.41
  5. Step 5: Solve for x
    x = 220,816,171,704.41/216,856.13
  6. Step 6: Final answer
    x = 1,018,261.17

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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.