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Finding the Third Proportional to 1,720.69 and 4,364.16

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Solution

The third proportional to 1,720.69 and 4,364.16 is: 11,068.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.69 : 4,364.16 = 4,364.16 : x
  2. Step 2: Convert to fraction form
    1,720.69/4,364.16 = 4,364.16/x
  3. Step 3: Cross multiply
    1,720.69x = 4,364.16 × 4,364.16
  4. Step 4: Simplify right side
    1,720.69x = 19,045,859.77
  5. Step 5: Solve for x
    x = 19,045,859.77/1,720.69
  6. Step 6: Final answer
    x = 11,068.75

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Why These Related Problems?

These problems maintain the same ratio (2.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.