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Finding the Third Proportional to 100,829.81 and 219,439.13

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Solution

The third proportional to 100,829.81 and 219,439.13 is: 477,572.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.81 : 219,439.13 = 219,439.13 : x
  2. Step 2: Convert to fraction form
    100,829.81/219,439.13 = 219,439.13/x
  3. Step 3: Cross multiply
    100,829.81x = 219,439.13 × 219,439.13
  4. Step 4: Simplify right side
    100,829.81x = 48,153,529,580.77
  5. Step 5: Solve for x
    x = 48,153,529,580.77/100,829.81
  6. Step 6: Final answer
    x = 477,572.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.