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Finding the Third Proportional to 33,821,080 and 72,425,125

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Solution

The third proportional to 33,821,080 and 72,425,125 is: 155,092,585.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,821,080 : 72,425,125 = 72,425,125 : x
  2. Step 2: Convert to fraction form
    33,821,080/72,425,125 = 72,425,125/x
  3. Step 3: Cross multiply
    33,821,080x = 72,425,125 × 72,425,125
  4. Step 4: Simplify right side
    33,821,080x = 5,245,398,731,265,625
  5. Step 5: Solve for x
    x = 5,245,398,731,265,625/33,821,080
  6. Step 6: Final answer
    x = 155,092,585.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.