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Finding the Third Proportional to 152,725.50 and 321,435.84

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Solution

The third proportional to 152,725.50 and 321,435.84 is: 676,514.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,725.50 : 321,435.84 = 321,435.84 : x
  2. Step 2: Convert to fraction form
    152,725.50/321,435.84 = 321,435.84/x
  3. Step 3: Cross multiply
    152,725.50x = 321,435.84 × 321,435.84
  4. Step 4: Simplify right side
    152,725.50x = 103,321,001,647.27
  5. Step 5: Solve for x
    x = 103,321,001,647.27/152,725.50
  6. Step 6: Final answer
    x = 676,514.41

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.