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Finding the Third Proportional to 376,152,926 and 580,999,197

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Solution

The third proportional to 376,152,926 and 580,999,197 is: 897,401,146.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,152,926 : 580,999,197 = 580,999,197 : x
  2. Step 2: Convert to fraction form
    376,152,926/580,999,197 = 580,999,197/x
  3. Step 3: Cross multiply
    376,152,926x = 580,999,197 × 580,999,197
  4. Step 4: Simplify right side
    376,152,926x = 337,560,066,914,644,800
  5. Step 5: Solve for x
    x = 337,560,066,914,644,800/376,152,926
  6. Step 6: Final answer
    x = 897,401,146.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.