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Finding the Third Proportional to 78,696.75 and 122,752.13

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Solution

The third proportional to 78,696.75 and 122,752.13 is: 191,470.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,696.75 : 122,752.13 = 122,752.13 : x
  2. Step 2: Convert to fraction form
    78,696.75/122,752.13 = 122,752.13/x
  3. Step 3: Cross multiply
    78,696.75x = 122,752.13 × 122,752.13
  4. Step 4: Simplify right side
    78,696.75x = 15,068,084,192.02
  5. Step 5: Solve for x
    x = 15,068,084,192.02/78,696.75
  6. Step 6: Final answer
    x = 191,470.22

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.