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Finding the Third Proportional to 309,055,773 and 654,954,234

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Solution

The third proportional to 309,055,773 and 654,954,234 is: 1,387,985,878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,055,773 : 654,954,234 = 654,954,234 : x
  2. Step 2: Convert to fraction form
    309,055,773/654,954,234 = 654,954,234/x
  3. Step 3: Cross multiply
    309,055,773x = 654,954,234 × 654,954,234
  4. Step 4: Simplify right side
    309,055,773x = 428,965,048,634,526,784
  5. Step 5: Solve for x
    x = 428,965,048,634,526,784/309,055,773
  6. Step 6: Final answer
    x = 1,387,985,878.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.