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Finding the Third Proportional to 222,353,754.75 and 320,774,590.13

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Solution

The third proportional to 222,353,754.75 and 320,774,590.13 is: 462,759,613.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,353,754.75 : 320,774,590.13 = 320,774,590.13 : x
  2. Step 2: Convert to fraction form
    222,353,754.75/320,774,590.13 = 320,774,590.13/x
  3. Step 3: Cross multiply
    222,353,754.75x = 320,774,590.13 × 320,774,590.13
  4. Step 4: Simplify right side
    222,353,754.75x = 102,896,337,669,861,744
  5. Step 5: Solve for x
    x = 102,896,337,669,861,744/222,353,754.75
  6. Step 6: Final answer
    x = 462,759,613.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.