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Finding the Third Proportional to 280,226.50 and 446,111.88

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Solution

The third proportional to 280,226.50 and 446,111.88 is: 710,196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,226.50 : 446,111.88 = 446,111.88 : x
  2. Step 2: Convert to fraction form
    280,226.50/446,111.88 = 446,111.88/x
  3. Step 3: Cross multiply
    280,226.50x = 446,111.88 × 446,111.88
  4. Step 4: Simplify right side
    280,226.50x = 199,015,805,016.02
  5. Step 5: Solve for x
    x = 199,015,805,016.02/280,226.50
  6. Step 6: Final answer
    x = 710,196.23

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.