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Finding the Third Proportional to 199,851.75 and 428,203.13

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Solution

The third proportional to 199,851.75 and 428,203.13 is: 917,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,851.75 : 428,203.13 = 428,203.13 : x
  2. Step 2: Convert to fraction form
    199,851.75/428,203.13 = 428,203.13/x
  3. Step 3: Cross multiply
    199,851.75x = 428,203.13 × 428,203.13
  4. Step 4: Simplify right side
    199,851.75x = 183,357,916,259.77
  5. Step 5: Solve for x
    x = 183,357,916,259.77/199,851.75
  6. Step 6: Final answer
    x = 917,469.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.