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Finding the Third Proportional to 451,630.69 and 619,289.30

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Solution

The third proportional to 451,630.69 and 619,289.30 is: 849,187.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,630.69 : 619,289.30 = 619,289.30 : x
  2. Step 2: Convert to fraction form
    451,630.69/619,289.30 = 619,289.30/x
  3. Step 3: Cross multiply
    451,630.69x = 619,289.30 × 619,289.30
  4. Step 4: Simplify right side
    451,630.69x = 383,519,233,223.93
  5. Step 5: Solve for x
    x = 383,519,233,223.93/451,630.69
  6. Step 6: Final answer
    x = 849,187.72

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.