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Finding the Third Proportional to 248,218,065 and 399,945,424.50

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Solution

The third proportional to 248,218,065 and 399,945,424.50 is: 644,418,618.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,218,065 : 399,945,424.50 = 399,945,424.50 : x
  2. Step 2: Convert to fraction form
    248,218,065/399,945,424.50 = 399,945,424.50/x
  3. Step 3: Cross multiply
    248,218,065x = 399,945,424.50 × 399,945,424.50
  4. Step 4: Simplify right side
    248,218,065x = 159,956,342,578,485,216
  5. Step 5: Solve for x
    x = 159,956,342,578,485,216/248,218,065
  6. Step 6: Final answer
    x = 644,418,618.68

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.