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Finding the Third Proportional to 287,381,981 and 629,170,174

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Solution

The third proportional to 287,381,981 and 629,170,174 is: 1,377,452,777.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,381,981 : 629,170,174 = 629,170,174 : x
  2. Step 2: Convert to fraction form
    287,381,981/629,170,174 = 629,170,174/x
  3. Step 3: Cross multiply
    287,381,981x = 629,170,174 × 629,170,174
  4. Step 4: Simplify right side
    287,381,981x = 395,855,107,851,190,272
  5. Step 5: Solve for x
    x = 395,855,107,851,190,272/287,381,981
  6. Step 6: Final answer
    x = 1,377,452,777.22

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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.