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Finding the Third Proportional to 645,319.69 and 1,332,070.88

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Solution

The third proportional to 645,319.69 and 1,332,070.88 is: 2,749,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,319.69 : 1,332,070.88 = 1,332,070.88 : x
  2. Step 2: Convert to fraction form
    645,319.69/1,332,070.88 = 1,332,070.88/x
  3. Step 3: Cross multiply
    645,319.69x = 1,332,070.88 × 1,332,070.88
  4. Step 4: Simplify right side
    645,319.69x = 1,774,412,816,023.27
  5. Step 5: Solve for x
    x = 1,774,412,816,023.27/645,319.69
  6. Step 6: Final answer
    x = 2,749,664.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.