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Finding the Third Proportional to 133,232,654 and 308,414,384

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Solution

The third proportional to 133,232,654 and 308,414,384 is: 713,934,830.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232,654 : 308,414,384 = 308,414,384 : x
  2. Step 2: Convert to fraction form
    133,232,654/308,414,384 = 308,414,384/x
  3. Step 3: Cross multiply
    133,232,654x = 308,414,384 × 308,414,384
  4. Step 4: Simplify right side
    133,232,654x = 95,119,432,258,099,456
  5. Step 5: Solve for x
    x = 95,119,432,258,099,456/133,232,654
  6. Step 6: Final answer
    x = 713,934,830.56

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.