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Finding the Third Proportional to 400,524 and 619,963.50

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Solution

The third proportional to 400,524 and 619,963.50 is: 959,629.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,524 : 619,963.50 = 619,963.50 : x
  2. Step 2: Convert to fraction form
    400,524/619,963.50 = 619,963.50/x
  3. Step 3: Cross multiply
    400,524x = 619,963.50 × 619,963.50
  4. Step 4: Simplify right side
    400,524x = 384,354,741,332.25
  5. Step 5: Solve for x
    x = 384,354,741,332.25/400,524
  6. Step 6: Final answer
    x = 959,629.74

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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.