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Finding the Third Proportional to 7,099.88 and 9,929.63

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Solution

The third proportional to 7,099.88 and 9,929.63 is: 13,887.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.88 : 9,929.63 = 9,929.63 : x
  2. Step 2: Convert to fraction form
    7,099.88/9,929.63 = 9,929.63/x
  3. Step 3: Cross multiply
    7,099.88x = 9,929.63 × 9,929.63
  4. Step 4: Simplify right side
    7,099.88x = 98,597,452.64
  5. Step 5: Solve for x
    x = 98,597,452.64/7,099.88
  6. Step 6: Final answer
    x = 13,887.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.