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Finding the Third Proportional to 9,814.50 and 13,060.88

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Solution

The third proportional to 9,814.50 and 13,060.88 is: 17,381.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.50 : 13,060.88 = 13,060.88 : x
  2. Step 2: Convert to fraction form
    9,814.50/13,060.88 = 13,060.88/x
  3. Step 3: Cross multiply
    9,814.50x = 13,060.88 × 13,060.88
  4. Step 4: Simplify right side
    9,814.50x = 170,586,455.77
  5. Step 5: Solve for x
    x = 170,586,455.77/9,814.50
  6. Step 6: Final answer
    x = 17,381.06

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.