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Finding the Third Proportional to 203,127.75 and 428,490

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Solution

The third proportional to 203,127.75 and 428,490 is: 903,882.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,127.75 : 428,490 = 428,490 : x
  2. Step 2: Convert to fraction form
    203,127.75/428,490 = 428,490/x
  3. Step 3: Cross multiply
    203,127.75x = 428,490 × 428,490
  4. Step 4: Simplify right side
    203,127.75x = 183,603,680,100
  5. Step 5: Solve for x
    x = 183,603,680,100/203,127.75
  6. Step 6: Final answer
    x = 903,882.80

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.