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Finding the Third Proportional to 78,324,082 and 110,102,827

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Solution

The third proportional to 78,324,082 and 110,102,827 is: 154,775,290.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,324,082 : 110,102,827 = 110,102,827 : x
  2. Step 2: Convert to fraction form
    78,324,082/110,102,827 = 110,102,827/x
  3. Step 3: Cross multiply
    78,324,082x = 110,102,827 × 110,102,827
  4. Step 4: Simplify right side
    78,324,082x = 12,122,632,513,391,928
  5. Step 5: Solve for x
    x = 12,122,632,513,391,928/78,324,082
  6. Step 6: Final answer
    x = 154,775,290.10

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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.