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Finding the Third Proportional to 133,775,376 and 204,661,276

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Solution

The third proportional to 133,775,376 and 204,661,276 is: 313,108,728.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,775,376 : 204,661,276 = 204,661,276 : x
  2. Step 2: Convert to fraction form
    133,775,376/204,661,276 = 204,661,276/x
  3. Step 3: Cross multiply
    133,775,376x = 204,661,276 × 204,661,276
  4. Step 4: Simplify right side
    133,775,376x = 41,886,237,893,948,176
  5. Step 5: Solve for x
    x = 41,886,237,893,948,176/133,775,376
  6. Step 6: Final answer
    x = 313,108,728.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.