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Finding the Third Proportional to 285,534,487.50 and 385,253,064

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Solution

The third proportional to 285,534,487.50 and 385,253,064 is: 519,796,836.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,534,487.50 : 385,253,064 = 385,253,064 : x
  2. Step 2: Convert to fraction form
    285,534,487.50/385,253,064 = 385,253,064/x
  3. Step 3: Cross multiply
    285,534,487.50x = 385,253,064 × 385,253,064
  4. Step 4: Simplify right side
    285,534,487.50x = 148,419,923,321,388,096
  5. Step 5: Solve for x
    x = 148,419,923,321,388,096/285,534,487.50
  6. Step 6: Final answer
    x = 519,796,836.53

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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.