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Finding the Third Proportional to 74,786,431 and 111,880,690.50

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Solution

The third proportional to 74,786,431 and 111,880,690.50 is: 167,373,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,786,431 : 111,880,690.50 = 111,880,690.50 : x
  2. Step 2: Convert to fraction form
    74,786,431/111,880,690.50 = 111,880,690.50/x
  3. Step 3: Cross multiply
    74,786,431x = 111,880,690.50 × 111,880,690.50
  4. Step 4: Simplify right side
    74,786,431x = 12,517,288,906,756,790
  5. Step 5: Solve for x
    x = 12,517,288,906,756,790/74,786,431
  6. Step 6: Final answer
    x = 167,373,796.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.