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Finding the Third Proportional to 398,198,582.25 and 553,663,299.47

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Solution

The third proportional to 398,198,582.25 and 553,663,299.47 is: 769,824,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,198,582.25 : 553,663,299.47 = 553,663,299.47 : x
  2. Step 2: Convert to fraction form
    398,198,582.25/553,663,299.47 = 553,663,299.47/x
  3. Step 3: Cross multiply
    398,198,582.25x = 553,663,299.47 × 553,663,299.47
  4. Step 4: Simplify right side
    398,198,582.25x = 306,543,049,178,622,720
  5. Step 5: Solve for x
    x = 306,543,049,178,622,720/398,198,582.25
  6. Step 6: Final answer
    x = 769,824,562.02

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.