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Finding the Third Proportional to 144,985.50 and 319,403.25

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Solution

The third proportional to 144,985.50 and 319,403.25 is: 703,645.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,985.50 : 319,403.25 = 319,403.25 : x
  2. Step 2: Convert to fraction form
    144,985.50/319,403.25 = 319,403.25/x
  3. Step 3: Cross multiply
    144,985.50x = 319,403.25 × 319,403.25
  4. Step 4: Simplify right side
    144,985.50x = 102,018,436,110.56
  5. Step 5: Solve for x
    x = 102,018,436,110.56/144,985.50
  6. Step 6: Final answer
    x = 703,645.79

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.