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Finding the Third Proportional to 149,852.85 and 321,080.20

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Solution

The third proportional to 149,852.85 and 321,080.20 is: 687,958.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,852.85 : 321,080.20 = 321,080.20 : x
  2. Step 2: Convert to fraction form
    149,852.85/321,080.20 = 321,080.20/x
  3. Step 3: Cross multiply
    149,852.85x = 321,080.20 × 321,080.20
  4. Step 4: Simplify right side
    149,852.85x = 103,092,496,838.79
  5. Step 5: Solve for x
    x = 103,092,496,838.79/149,852.85
  6. Step 6: Final answer
    x = 687,958.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.