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Finding the Third Proportional to 204,507 and 427,803.75

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Solution

The third proportional to 204,507 and 427,803.75 is: 894,913.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507 : 427,803.75 = 427,803.75 : x
  2. Step 2: Convert to fraction form
    204,507/427,803.75 = 427,803.75/x
  3. Step 3: Cross multiply
    204,507x = 427,803.75 × 427,803.75
  4. Step 4: Simplify right side
    204,507x = 183,016,048,514.06
  5. Step 5: Solve for x
    x = 183,016,048,514.06/204,507
  6. Step 6: Final answer
    x = 894,913.37

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.