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Finding the Third Proportional to 147,295,138 and 220,942,680

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Solution

The third proportional to 147,295,138 and 220,942,680 is: 331,413,979.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,295,138 : 220,942,680 = 220,942,680 : x
  2. Step 2: Convert to fraction form
    147,295,138/220,942,680 = 220,942,680/x
  3. Step 3: Cross multiply
    147,295,138x = 220,942,680 × 220,942,680
  4. Step 4: Simplify right side
    147,295,138x = 48,815,667,845,582,400
  5. Step 5: Solve for x
    x = 48,815,667,845,582,400/147,295,138
  6. Step 6: Final answer
    x = 331,413,979.50

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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.