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Finding the Third Proportional to 204,012 and 440,869.50

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Solution

The third proportional to 204,012 and 440,869.50 is: 952,718.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,012 : 440,869.50 = 440,869.50 : x
  2. Step 2: Convert to fraction form
    204,012/440,869.50 = 440,869.50/x
  3. Step 3: Cross multiply
    204,012x = 440,869.50 × 440,869.50
  4. Step 4: Simplify right side
    204,012x = 194,365,916,030.25
  5. Step 5: Solve for x
    x = 194,365,916,030.25/204,012
  6. Step 6: Final answer
    x = 952,718.06

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.