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Finding the Third Proportional to 133,971,648.75 and 290,205,238.50

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Solution

The third proportional to 133,971,648.75 and 290,205,238.50 is: 628,633,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,971,648.75 : 290,205,238.50 = 290,205,238.50 : x
  2. Step 2: Convert to fraction form
    133,971,648.75/290,205,238.50 = 290,205,238.50/x
  3. Step 3: Cross multiply
    133,971,648.75x = 290,205,238.50 × 290,205,238.50
  4. Step 4: Simplify right side
    133,971,648.75x = 84,219,080,452,841,888
  5. Step 5: Solve for x
    x = 84,219,080,452,841,888/133,971,648.75
  6. Step 6: Final answer
    x = 628,633,604.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.