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Finding the Third Proportional to 1,688.66 and 2,588.52

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Solution

The third proportional to 1,688.66 and 2,588.52 is: 3,967.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,688.66 : 2,588.52 = 2,588.52 : x
  2. Step 2: Convert to fraction form
    1,688.66/2,588.52 = 2,588.52/x
  3. Step 3: Cross multiply
    1,688.66x = 2,588.52 × 2,588.52
  4. Step 4: Simplify right side
    1,688.66x = 6,700,433.36
  5. Step 5: Solve for x
    x = 6,700,433.36/1,688.66
  6. Step 6: Final answer
    x = 3,967.90

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.