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Finding the Third Proportional to 408,928.50 and 620,750.25

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Solution

The third proportional to 408,928.50 and 620,750.25 is: 942,294.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,928.50 : 620,750.25 = 620,750.25 : x
  2. Step 2: Convert to fraction form
    408,928.50/620,750.25 = 620,750.25/x
  3. Step 3: Cross multiply
    408,928.50x = 620,750.25 × 620,750.25
  4. Step 4: Simplify right side
    408,928.50x = 385,330,872,875.06
  5. Step 5: Solve for x
    x = 385,330,872,875.06/408,928.50
  6. Step 6: Final answer
    x = 942,294.00

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.