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Finding the Third Proportional to 109,690,378,533 and 222,465,000,728

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Solution

The third proportional to 109,690,378,533 and 222,465,000,728 is: 451,185,210,688.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,690,378,533 : 222,465,000,728 = 222,465,000,728 : x
  2. Step 2: Convert to fraction form
    109,690,378,533/222,465,000,728 = 222,465,000,728/x
  3. Step 3: Cross multiply
    109,690,378,533x = 222,465,000,728 × 222,465,000,728
  4. Step 4: Simplify right side
    109,690,378,533x = 49,490,676,548,909,039,353,856
  5. Step 5: Solve for x
    x = 49,490,676,548,909,039,353,856/109,690,378,533
  6. Step 6: Final answer
    x = 451,185,210,688.47

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.