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Finding the Third Proportional to 142,874,928 and 302,917,846.50

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Solution

The third proportional to 142,874,928 and 302,917,846.50 is: 642,234,596.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,874,928 : 302,917,846.50 = 302,917,846.50 : x
  2. Step 2: Convert to fraction form
    142,874,928/302,917,846.50 = 302,917,846.50/x
  3. Step 3: Cross multiply
    142,874,928x = 302,917,846.50 × 302,917,846.50
  4. Step 4: Simplify right side
    142,874,928x = 91,759,221,728,197,568
  5. Step 5: Solve for x
    x = 91,759,221,728,197,568/142,874,928
  6. Step 6: Final answer
    x = 642,234,596.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.