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Finding the Third Proportional to 253,560,390 and 380,946,249

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Solution

The third proportional to 253,560,390 and 380,946,249 is: 572,329,316.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,560,390 : 380,946,249 = 380,946,249 : x
  2. Step 2: Convert to fraction form
    253,560,390/380,946,249 = 380,946,249/x
  3. Step 3: Cross multiply
    253,560,390x = 380,946,249 × 380,946,249
  4. Step 4: Simplify right side
    253,560,390x = 145,120,044,627,170,016
  5. Step 5: Solve for x
    x = 145,120,044,627,170,016/253,560,390
  6. Step 6: Final answer
    x = 572,329,316.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.