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Finding the Third Proportional to 200,504.25 and 431,140.50

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Solution

The third proportional to 200,504.25 and 431,140.50 is: 927,073.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,504.25 : 431,140.50 = 431,140.50 : x
  2. Step 2: Convert to fraction form
    200,504.25/431,140.50 = 431,140.50/x
  3. Step 3: Cross multiply
    200,504.25x = 431,140.50 × 431,140.50
  4. Step 4: Simplify right side
    200,504.25x = 185,882,130,740.25
  5. Step 5: Solve for x
    x = 185,882,130,740.25/200,504.25
  6. Step 6: Final answer
    x = 927,073.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.