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Finding the Third Proportional to 97,115,100.75 and 203,208,567.75

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Solution

The third proportional to 97,115,100.75 and 203,208,567.75 is: 425,203,924.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,115,100.75 : 203,208,567.75 = 203,208,567.75 : x
  2. Step 2: Convert to fraction form
    97,115,100.75/203,208,567.75 = 203,208,567.75/x
  3. Step 3: Cross multiply
    97,115,100.75x = 203,208,567.75 × 203,208,567.75
  4. Step 4: Simplify right side
    97,115,100.75x = 41,293,722,007,006,344
  5. Step 5: Solve for x
    x = 41,293,722,007,006,344/97,115,100.75
  6. Step 6: Final answer
    x = 425,203,924.91

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.