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Finding the Third Proportional to 227,438,463 and 491,191,332

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Solution

The third proportional to 227,438,463 and 491,191,332 is: 1,060,809,686.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,438,463 : 491,191,332 = 491,191,332 : x
  2. Step 2: Convert to fraction form
    227,438,463/491,191,332 = 491,191,332/x
  3. Step 3: Cross multiply
    227,438,463x = 491,191,332 × 491,191,332
  4. Step 4: Simplify right side
    227,438,463x = 241,268,924,631,934,208
  5. Step 5: Solve for x
    x = 241,268,924,631,934,208/227,438,463
  6. Step 6: Final answer
    x = 1,060,809,686.50

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.