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Finding the Third Proportional to 4,990.88 and 7,828.88

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Solution

The third proportional to 4,990.88 and 7,828.88 is: 12,280.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.88 : 7,828.88 = 7,828.88 : x
  2. Step 2: Convert to fraction form
    4,990.88/7,828.88 = 7,828.88/x
  3. Step 3: Cross multiply
    4,990.88x = 7,828.88 × 7,828.88
  4. Step 4: Simplify right side
    4,990.88x = 61,291,283.77
  5. Step 5: Solve for x
    x = 61,291,283.77/4,990.88
  6. Step 6: Final answer
    x = 12,280.67

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.