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Finding the Third Proportional to 133,232,646 and 308,414,367

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Solution

The third proportional to 133,232,646 and 308,414,367 is: 713,934,794.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,232,646 : 308,414,367 = 308,414,367 : x
  2. Step 2: Convert to fraction form
    133,232,646/308,414,367 = 308,414,367/x
  3. Step 3: Cross multiply
    133,232,646x = 308,414,367 × 308,414,367
  4. Step 4: Simplify right side
    133,232,646x = 95,119,421,772,010,688
  5. Step 5: Solve for x
    x = 95,119,421,772,010,688/133,232,646
  6. Step 6: Final answer
    x = 713,934,794.72

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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.