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Finding the Third Proportional to 400,525 and 619,964

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Solution

The third proportional to 400,525 and 619,964 is: 959,628.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,525 : 619,964 = 619,964 : x
  2. Step 2: Convert to fraction form
    400,525/619,964 = 619,964/x
  3. Step 3: Cross multiply
    400,525x = 619,964 × 619,964
  4. Step 4: Simplify right side
    400,525x = 384,355,361,296
  5. Step 5: Solve for x
    x = 384,355,361,296/400,525
  6. Step 6: Final answer
    x = 959,628.89

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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.