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Finding the Third Proportional to 144,859.50 and 313,837.50

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Solution

The third proportional to 144,859.50 and 313,837.50 is: 679,927.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,859.50 : 313,837.50 = 313,837.50 : x
  2. Step 2: Convert to fraction form
    144,859.50/313,837.50 = 313,837.50/x
  3. Step 3: Cross multiply
    144,859.50x = 313,837.50 × 313,837.50
  4. Step 4: Simplify right side
    144,859.50x = 98,493,976,406.25
  5. Step 5: Solve for x
    x = 98,493,976,406.25/144,859.50
  6. Step 6: Final answer
    x = 679,927.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.