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Finding the Third Proportional to 315,093 and 691,417

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Solution

The third proportional to 315,093 and 691,417 is: 1,517,194.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,093 : 691,417 = 691,417 : x
  2. Step 2: Convert to fraction form
    315,093/691,417 = 691,417/x
  3. Step 3: Cross multiply
    315,093x = 691,417 × 691,417
  4. Step 4: Simplify right side
    315,093x = 478,057,467,889
  5. Step 5: Solve for x
    x = 478,057,467,889/315,093
  6. Step 6: Final answer
    x = 1,517,194.82

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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.