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Finding the Third Proportional to 200,323.13 and 408,064.50

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Solution

The third proportional to 200,323.13 and 408,064.50 is: 831,240.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,323.13 : 408,064.50 = 408,064.50 : x
  2. Step 2: Convert to fraction form
    200,323.13/408,064.50 = 408,064.50/x
  3. Step 3: Cross multiply
    200,323.13x = 408,064.50 × 408,064.50
  4. Step 4: Simplify right side
    200,323.13x = 166,516,636,160.25
  5. Step 5: Solve for x
    x = 166,516,636,160.25/200,323.13
  6. Step 6: Final answer
    x = 831,240.21

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.