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Finding the Third Proportional to 400,366.13 and 619,256.81

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Solution

The third proportional to 400,366.13 and 619,256.81 is: 957,820.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,366.13 : 619,256.81 = 619,256.81 : x
  2. Step 2: Convert to fraction form
    400,366.13/619,256.81 = 619,256.81/x
  3. Step 3: Cross multiply
    400,366.13x = 619,256.81 × 619,256.81
  4. Step 4: Simplify right side
    400,366.13x = 383,478,999,827.66
  5. Step 5: Solve for x
    x = 383,478,999,827.66/400,366.13
  6. Step 6: Final answer
    x = 957,820.79

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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.