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Finding the Third Proportional to 7,858.69 and 17,102.81

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Solution

The third proportional to 7,858.69 and 17,102.81 is: 37,220.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,858.69 : 17,102.81 = 17,102.81 : x
  2. Step 2: Convert to fraction form
    7,858.69/17,102.81 = 17,102.81/x
  3. Step 3: Cross multiply
    7,858.69x = 17,102.81 × 17,102.81
  4. Step 4: Simplify right side
    7,858.69x = 292,506,195.41
  5. Step 5: Solve for x
    x = 292,506,195.41/7,858.69
  6. Step 6: Final answer
    x = 37,220.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.