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Finding the Third Proportional to 200,427.75 and 417,439.50

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Solution

The third proportional to 200,427.75 and 417,439.50 is: 869,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,427.75 : 417,439.50 = 417,439.50 : x
  2. Step 2: Convert to fraction form
    200,427.75/417,439.50 = 417,439.50/x
  3. Step 3: Cross multiply
    200,427.75x = 417,439.50 × 417,439.50
  4. Step 4: Simplify right side
    200,427.75x = 174,255,736,160.25
  5. Step 5: Solve for x
    x = 174,255,736,160.25/200,427.75
  6. Step 6: Final answer
    x = 869,419.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.