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Finding the Third Proportional to 78,827.06 and 122,113.13

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Solution

The third proportional to 78,827.06 and 122,113.13 is: 189,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,827.06 : 122,113.13 = 122,113.13 : x
  2. Step 2: Convert to fraction form
    78,827.06/122,113.13 = 122,113.13/x
  3. Step 3: Cross multiply
    78,827.06x = 122,113.13 × 122,113.13
  4. Step 4: Simplify right side
    78,827.06x = 14,911,615,297.27
  5. Step 5: Solve for x
    x = 14,911,615,297.27/78,827.06
  6. Step 6: Final answer
    x = 189,168.73

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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.