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Finding the Third Proportional to 144,778.50 and 320,539.50

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Solution

The third proportional to 144,778.50 and 320,539.50 is: 709,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,778.50 : 320,539.50 = 320,539.50 : x
  2. Step 2: Convert to fraction form
    144,778.50/320,539.50 = 320,539.50/x
  3. Step 3: Cross multiply
    144,778.50x = 320,539.50 × 320,539.50
  4. Step 4: Simplify right side
    144,778.50x = 102,745,571,060.25
  5. Step 5: Solve for x
    x = 102,745,571,060.25/144,778.50
  6. Step 6: Final answer
    x = 709,674.23

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.