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Finding the Third Proportional to 312,232,010,366 and 421,274,288,586

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Solution

The third proportional to 312,232,010,366 and 421,274,288,586 is: 568,397,923,120.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,232,010,366 : 421,274,288,586 = 421,274,288,586 : x
  2. Step 2: Convert to fraction form
    312,232,010,366/421,274,288,586 = 421,274,288,586/x
  3. Step 3: Cross multiply
    312,232,010,366x = 421,274,288,586 × 421,274,288,586
  4. Step 4: Simplify right side
    312,232,010,366x = 177,472,026,223,640,404,033,536
  5. Step 5: Solve for x
    x = 177,472,026,223,640,404,033,536/312,232,010,366
  6. Step 6: Final answer
    x = 568,397,923,120.08

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.