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Finding the Third Proportional to 289,792.69 and 629,487.70

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Solution

The third proportional to 289,792.69 and 629,487.70 is: 1,367,373.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,792.69 : 629,487.70 = 629,487.70 : x
  2. Step 2: Convert to fraction form
    289,792.69/629,487.70 = 629,487.70/x
  3. Step 3: Cross multiply
    289,792.69x = 629,487.70 × 629,487.70
  4. Step 4: Simplify right side
    289,792.69x = 396,254,768,385.59
  5. Step 5: Solve for x
    x = 396,254,768,385.59/289,792.69
  6. Step 6: Final answer
    x = 1,367,373.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.