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Finding the Third Proportional to 78,324,080 and 110,102,824

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Solution

The third proportional to 78,324,080 and 110,102,824 is: 154,775,285.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324,080 : 110,102,824 = 110,102,824 : x
  2. Step 2: Convert to fraction form
    78,324,080/110,102,824 = 110,102,824/x
  3. Step 3: Cross multiply
    78,324,080x = 110,102,824 × 110,102,824
  4. Step 4: Simplify right side
    78,324,080x = 12,122,631,852,774,976
  5. Step 5: Solve for x
    x = 12,122,631,852,774,976/78,324,080
  6. Step 6: Final answer
    x = 154,775,285.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.