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Finding the Third Proportional to 200,742.75 and 445,772.25

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Solution

The third proportional to 200,742.75 and 445,772.25 is: 989,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,742.75 : 445,772.25 = 445,772.25 : x
  2. Step 2: Convert to fraction form
    200,742.75/445,772.25 = 445,772.25/x
  3. Step 3: Cross multiply
    200,742.75x = 445,772.25 × 445,772.25
  4. Step 4: Simplify right side
    200,742.75x = 198,712,898,870.06
  5. Step 5: Solve for x
    x = 198,712,898,870.06/200,742.75
  6. Step 6: Final answer
    x = 989,888.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.