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Finding the Third Proportional to 140,866.50 and 305,619

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Solution

The third proportional to 140,866.50 and 305,619 is: 663,060.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,866.50 : 305,619 = 305,619 : x
  2. Step 2: Convert to fraction form
    140,866.50/305,619 = 305,619/x
  3. Step 3: Cross multiply
    140,866.50x = 305,619 × 305,619
  4. Step 4: Simplify right side
    140,866.50x = 93,402,973,161
  5. Step 5: Solve for x
    x = 93,402,973,161/140,866.50
  6. Step 6: Final answer
    x = 663,060.22

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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.