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Finding the Third Proportional to 305,816,511,420 and 425,213,414,721

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Solution

The third proportional to 305,816,511,420 and 425,213,414,721 is: 591,225,265,173.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,816,511,420 : 425,213,414,721 = 425,213,414,721 : x
  2. Step 2: Convert to fraction form
    305,816,511,420/425,213,414,721 = 425,213,414,721/x
  3. Step 3: Cross multiply
    305,816,511,420x = 425,213,414,721 × 425,213,414,721
  4. Step 4: Simplify right side
    305,816,511,420x = 180,806,448,058,693,131,960,320
  5. Step 5: Solve for x
    x = 180,806,448,058,693,131,960,320/305,816,511,420
  6. Step 6: Final answer
    x = 591,225,265,173.40

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.