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Finding the Third Proportional to 313,058.25 and 676,140.75

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Solution

The third proportional to 313,058.25 and 676,140.75 is: 1,460,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,058.25 : 676,140.75 = 676,140.75 : x
  2. Step 2: Convert to fraction form
    313,058.25/676,140.75 = 676,140.75/x
  3. Step 3: Cross multiply
    313,058.25x = 676,140.75 × 676,140.75
  4. Step 4: Simplify right side
    313,058.25x = 457,166,313,810.56
  5. Step 5: Solve for x
    x = 457,166,313,810.56/313,058.25
  6. Step 6: Final answer
    x = 1,460,323.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.