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Finding the Third Proportional to 215,821,990 and 334,046,330

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Solution

The third proportional to 215,821,990 and 334,046,330 is: 517,032,349.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,821,990 : 334,046,330 = 334,046,330 : x
  2. Step 2: Convert to fraction form
    215,821,990/334,046,330 = 334,046,330/x
  3. Step 3: Cross multiply
    215,821,990x = 334,046,330 × 334,046,330
  4. Step 4: Simplify right side
    215,821,990x = 111,586,950,586,468,896
  5. Step 5: Solve for x
    x = 111,586,950,586,468,896/215,821,990
  6. Step 6: Final answer
    x = 517,032,349.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.