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Finding the Third Proportional to 5,307.75 and 10,485

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Solution

The third proportional to 5,307.75 and 10,485 is: 20,712.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,307.75 : 10,485 = 10,485 : x
  2. Step 2: Convert to fraction form
    5,307.75/10,485 = 10,485/x
  3. Step 3: Cross multiply
    5,307.75x = 10,485 × 10,485
  4. Step 4: Simplify right side
    5,307.75x = 109,935,225
  5. Step 5: Solve for x
    x = 109,935,225/5,307.75
  6. Step 6: Final answer
    x = 20,712.21

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.