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Finding the Third Proportional to 246,193,890 and 533,242,278

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Solution

The third proportional to 246,193,890 and 533,242,278 is: 1,154,973,127.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,193,890 : 533,242,278 = 533,242,278 : x
  2. Step 2: Convert to fraction form
    246,193,890/533,242,278 = 533,242,278/x
  3. Step 3: Cross multiply
    246,193,890x = 533,242,278 × 533,242,278
  4. Step 4: Simplify right side
    246,193,890x = 284,347,327,046,629,280
  5. Step 5: Solve for x
    x = 284,347,327,046,629,280/246,193,890
  6. Step 6: Final answer
    x = 1,154,973,127.26

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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.