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Finding the Third Proportional to 121,295.81 and 173,686.69

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Solution

The third proportional to 121,295.81 and 173,686.69 is: 248,706.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,295.81 : 173,686.69 = 173,686.69 : x
  2. Step 2: Convert to fraction form
    121,295.81/173,686.69 = 173,686.69/x
  3. Step 3: Cross multiply
    121,295.81x = 173,686.69 × 173,686.69
  4. Step 4: Simplify right side
    121,295.81x = 30,167,065,414.72
  5. Step 5: Solve for x
    x = 30,167,065,414.72/121,295.81
  6. Step 6: Final answer
    x = 248,706.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.