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Finding the Third Proportional to 313,749 and 687,377

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Solution

The third proportional to 313,749 and 687,377 is: 1,505,939.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,749 : 687,377 = 687,377 : x
  2. Step 2: Convert to fraction form
    313,749/687,377 = 687,377/x
  3. Step 3: Cross multiply
    313,749x = 687,377 × 687,377
  4. Step 4: Simplify right side
    313,749x = 472,487,140,129
  5. Step 5: Solve for x
    x = 472,487,140,129/313,749
  6. Step 6: Final answer
    x = 1,505,939.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.