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Finding the Third Proportional to 400,283 and 619,125

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Solution

The third proportional to 400,283 and 619,125 is: 957,611.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,283 : 619,125 = 619,125 : x
  2. Step 2: Convert to fraction form
    400,283/619,125 = 619,125/x
  3. Step 3: Cross multiply
    400,283x = 619,125 × 619,125
  4. Step 4: Simplify right side
    400,283x = 383,315,765,625
  5. Step 5: Solve for x
    x = 383,315,765,625/400,283
  6. Step 6: Final answer
    x = 957,611.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.