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Finding the Third Proportional to 3,430.69 and 7,643.53

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Solution

The third proportional to 3,430.69 and 7,643.53 is: 17,029.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,430.69 : 7,643.53 = 7,643.53 : x
  2. Step 2: Convert to fraction form
    3,430.69/7,643.53 = 7,643.53/x
  3. Step 3: Cross multiply
    3,430.69x = 7,643.53 × 7,643.53
  4. Step 4: Simplify right side
    3,430.69x = 58,423,569.97
  5. Step 5: Solve for x
    x = 58,423,569.97/3,430.69
  6. Step 6: Final answer
    x = 17,029.70

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.