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Finding the Third Proportional to 200,554.73 and 440,475.47

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Solution

The third proportional to 200,554.73 and 440,475.47 is: 967,409.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,554.73 : 440,475.47 = 440,475.47 : x
  2. Step 2: Convert to fraction form
    200,554.73/440,475.47 = 440,475.47/x
  3. Step 3: Cross multiply
    200,554.73x = 440,475.47 × 440,475.47
  4. Step 4: Simplify right side
    200,554.73x = 194,018,638,570.53
  5. Step 5: Solve for x
    x = 194,018,638,570.53/200,554.73
  6. Step 6: Final answer
    x = 967,409.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.