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Finding the Third Proportional to 78,632,678 and 117,267,115

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Solution

The third proportional to 78,632,678 and 117,267,115 is: 174,883,732.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,632,678 : 117,267,115 = 117,267,115 : x
  2. Step 2: Convert to fraction form
    78,632,678/117,267,115 = 117,267,115/x
  3. Step 3: Cross multiply
    78,632,678x = 117,267,115 × 117,267,115
  4. Step 4: Simplify right side
    78,632,678x = 13,751,576,260,423,224
  5. Step 5: Solve for x
    x = 13,751,576,260,423,224/78,632,678
  6. Step 6: Final answer
    x = 174,883,732.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.