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Finding the Third Proportional to 78,420.66 and 121,601.25

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Solution

The third proportional to 78,420.66 and 121,601.25 is: 188,558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,420.66 : 121,601.25 = 121,601.25 : x
  2. Step 2: Convert to fraction form
    78,420.66/121,601.25 = 121,601.25/x
  3. Step 3: Cross multiply
    78,420.66x = 121,601.25 × 121,601.25
  4. Step 4: Simplify right side
    78,420.66x = 14,786,864,001.56
  5. Step 5: Solve for x
    x = 14,786,864,001.56/78,420.66
  6. Step 6: Final answer
    x = 188,558.28

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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.