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Finding the Third Proportional to 78,829.88 and 122,396.63

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Solution

The third proportional to 78,829.88 and 122,396.63 is: 190,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,829.88 : 122,396.63 = 122,396.63 : x
  2. Step 2: Convert to fraction form
    78,829.88/122,396.63 = 122,396.63/x
  3. Step 3: Cross multiply
    78,829.88x = 122,396.63 × 122,396.63
  4. Step 4: Simplify right side
    78,829.88x = 14,980,933,811.39
  5. Step 5: Solve for x
    x = 14,980,933,811.39/78,829.88
  6. Step 6: Final answer
    x = 190,041.32

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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.