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Finding the Third Proportional to 285,534,519 and 385,253,104.50

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Solution

The third proportional to 285,534,519 and 385,253,104.50 is: 519,796,888.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,519 : 385,253,104.50 = 385,253,104.50 : x
  2. Step 2: Convert to fraction form
    285,534,519/385,253,104.50 = 385,253,104.50/x
  3. Step 3: Cross multiply
    285,534,519x = 385,253,104.50 × 385,253,104.50
  4. Step 4: Simplify right side
    285,534,519x = 148,419,954,526,887,936
  5. Step 5: Solve for x
    x = 148,419,954,526,887,936/285,534,519
  6. Step 6: Final answer
    x = 519,796,888.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.