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Finding the Third Proportional to 246,193,842 and 533,242,182

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Solution

The third proportional to 246,193,842 and 533,242,182 is: 1,154,972,936.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,193,842 : 533,242,182 = 533,242,182 : x
  2. Step 2: Convert to fraction form
    246,193,842/533,242,182 = 533,242,182/x
  3. Step 3: Cross multiply
    246,193,842x = 533,242,182 × 533,242,182
  4. Step 4: Simplify right side
    246,193,842x = 284,347,224,664,121,120
  5. Step 5: Solve for x
    x = 284,347,224,664,121,120/246,193,842
  6. Step 6: Final answer
    x = 1,154,972,936.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.