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Finding the Third Proportional to 400,288 and 619,133

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Solution

The third proportional to 400,288 and 619,133 is: 957,624.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,288 : 619,133 = 619,133 : x
  2. Step 2: Convert to fraction form
    400,288/619,133 = 619,133/x
  3. Step 3: Cross multiply
    400,288x = 619,133 × 619,133
  4. Step 4: Simplify right side
    400,288x = 383,325,671,689
  5. Step 5: Solve for x
    x = 383,325,671,689/400,288
  6. Step 6: Final answer
    x = 957,624.69

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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.