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Finding the Third Proportional to 9,580.50 and 14,796.75

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Solution

The third proportional to 9,580.50 and 14,796.75 is: 22,853.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.50 : 14,796.75 = 14,796.75 : x
  2. Step 2: Convert to fraction form
    9,580.50/14,796.75 = 14,796.75/x
  3. Step 3: Cross multiply
    9,580.50x = 14,796.75 × 14,796.75
  4. Step 4: Simplify right side
    9,580.50x = 218,943,810.56
  5. Step 5: Solve for x
    x = 218,943,810.56/9,580.50
  6. Step 6: Final answer
    x = 22,853.07

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.