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Finding the Third Proportional to 653.63 and 1,431.56

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Solution

The third proportional to 653.63 and 1,431.56 is: 3,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.63 : 1,431.56 = 1,431.56 : x
  2. Step 2: Convert to fraction form
    653.63/1,431.56 = 1,431.56/x
  3. Step 3: Cross multiply
    653.63x = 1,431.56 × 1,431.56
  4. Step 4: Simplify right side
    653.63x = 2,049,371.19
  5. Step 5: Solve for x
    x = 2,049,371.19/653.63
  6. Step 6: Final answer
    x = 3,135.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.