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Finding the Third Proportional to 145,721 and 313,798

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Solution

The third proportional to 145,721 and 313,798 is: 675,737.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,721 : 313,798 = 313,798 : x
  2. Step 2: Convert to fraction form
    145,721/313,798 = 313,798/x
  3. Step 3: Cross multiply
    145,721x = 313,798 × 313,798
  4. Step 4: Simplify right side
    145,721x = 98,469,184,804
  5. Step 5: Solve for x
    x = 98,469,184,804/145,721
  6. Step 6: Final answer
    x = 675,737.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.