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Finding the Third Proportional to 653.91 and 1,409.91

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Solution

The third proportional to 653.91 and 1,409.91 is: 3,039.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    653.91 : 1,409.91 = 1,409.91 : x
  2. Step 2: Convert to fraction form
    653.91/1,409.91 = 1,409.91/x
  3. Step 3: Cross multiply
    653.91x = 1,409.91 × 1,409.91
  4. Step 4: Simplify right side
    653.91x = 1,987,835.63
  5. Step 5: Solve for x
    x = 1,987,835.63/653.91
  6. Step 6: Final answer
    x = 3,039.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.