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Finding the Third Proportional to 222,791,541 and 340,590,844.50

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Solution

The third proportional to 222,791,541 and 340,590,844.50 is: 520,675,618.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,791,541 : 340,590,844.50 = 340,590,844.50 : x
  2. Step 2: Convert to fraction form
    222,791,541/340,590,844.50 = 340,590,844.50/x
  3. Step 3: Cross multiply
    222,791,541x = 340,590,844.50 × 340,590,844.50
  4. Step 4: Simplify right side
    222,791,541x = 116,002,123,357,223,184
  5. Step 5: Solve for x
    x = 116,002,123,357,223,184/222,791,541
  6. Step 6: Final answer
    x = 520,675,618.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.