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Finding the Third Proportional to 5,130.84 and 7,729.17

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Solution

The third proportional to 5,130.84 and 7,729.17 is: 11,643.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.84 : 7,729.17 = 7,729.17 : x
  2. Step 2: Convert to fraction form
    5,130.84/7,729.17 = 7,729.17/x
  3. Step 3: Cross multiply
    5,130.84x = 7,729.17 × 7,729.17
  4. Step 4: Simplify right side
    5,130.84x = 59,740,097.87
  5. Step 5: Solve for x
    x = 59,740,097.87/5,130.84
  6. Step 6: Final answer
    x = 11,643.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.