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Finding the Third Proportional to 686.05 and 1,525.63

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Solution

The third proportional to 686.05 and 1,525.63 is: 3,392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.05 : 1,525.63 = 1,525.63 : x
  2. Step 2: Convert to fraction form
    686.05/1,525.63 = 1,525.63/x
  3. Step 3: Cross multiply
    686.05x = 1,525.63 × 1,525.63
  4. Step 4: Simplify right side
    686.05x = 2,327,552.50
  5. Step 5: Solve for x
    x = 2,327,552.50/686.05
  6. Step 6: Final answer
    x = 3,392.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.