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Finding the Third Proportional to 400,254 and 619,085

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Solution

The third proportional to 400,254 and 619,085 is: 957,557.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,254 : 619,085 = 619,085 : x
  2. Step 2: Convert to fraction form
    400,254/619,085 = 619,085/x
  3. Step 3: Cross multiply
    400,254x = 619,085 × 619,085
  4. Step 4: Simplify right side
    400,254x = 383,266,237,225
  5. Step 5: Solve for x
    x = 383,266,237,225/400,254
  6. Step 6: Final answer
    x = 957,557.54

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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.