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Finding the Third Proportional to 78,825.66 and 122,390.58

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Solution

The third proportional to 78,825.66 and 122,390.58 is: 190,032.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,825.66 : 122,390.58 = 122,390.58 : x
  2. Step 2: Convert to fraction form
    78,825.66/122,390.58 = 122,390.58/x
  3. Step 3: Cross multiply
    78,825.66x = 122,390.58 × 122,390.58
  4. Step 4: Simplify right side
    78,825.66x = 14,979,453,613.77
  5. Step 5: Solve for x
    x = 14,979,453,613.77/78,825.66
  6. Step 6: Final answer
    x = 190,032.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.