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Finding the Third Proportional to 336,848,341.50 and 737,192,765.25

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Solution

The third proportional to 336,848,341.50 and 737,192,765.25 is: 1,613,346,738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,848,341.50 : 737,192,765.25 = 737,192,765.25 : x
  2. Step 2: Convert to fraction form
    336,848,341.50/737,192,765.25 = 737,192,765.25/x
  3. Step 3: Cross multiply
    336,848,341.50x = 737,192,765.25 × 737,192,765.25
  4. Step 4: Simplify right side
    336,848,341.50x = 543,453,173,136,941,632
  5. Step 5: Solve for x
    x = 543,453,173,136,941,632/336,848,341.50
  6. Step 6: Final answer
    x = 1,613,346,738.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.