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Finding the Third Proportional to 1,685 and 4,188.50

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Solution

The third proportional to 1,685 and 4,188.50 is: 10,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,685 : 4,188.50 = 4,188.50 : x
  2. Step 2: Convert to fraction form
    1,685/4,188.50 = 4,188.50/x
  3. Step 3: Cross multiply
    1,685x = 4,188.50 × 4,188.50
  4. Step 4: Simplify right side
    1,685x = 17,543,532.25
  5. Step 5: Solve for x
    x = 17,543,532.25/1,685
  6. Step 6: Final answer
    x = 10,411.59

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Why These Related Problems?

These problems maintain the same ratio (2.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.