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Finding the Third Proportional to 315,078.75 and 691,383

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Solution

The third proportional to 315,078.75 and 691,383 is: 1,517,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,078.75 : 691,383 = 691,383 : x
  2. Step 2: Convert to fraction form
    315,078.75/691,383 = 691,383/x
  3. Step 3: Cross multiply
    315,078.75x = 691,383 × 691,383
  4. Step 4: Simplify right side
    315,078.75x = 478,010,452,689
  5. Step 5: Solve for x
    x = 478,010,452,689/315,078.75
  6. Step 6: Final answer
    x = 1,517,114.22

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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.