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Finding the Third Proportional to 312,232,054,896 and 421,274,346,768

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Solution

The third proportional to 312,232,054,896 and 421,274,346,768 is: 568,397,999,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,232,054,896 : 421,274,346,768 = 421,274,346,768 : x
  2. Step 2: Convert to fraction form
    312,232,054,896/421,274,346,768 = 421,274,346,768/x
  3. Step 3: Cross multiply
    312,232,054,896x = 421,274,346,768 × 421,274,346,768
  4. Step 4: Simplify right side
    312,232,054,896x = 177,472,075,244,805,096,996,864
  5. Step 5: Solve for x
    x = 177,472,075,244,805,096,996,864/312,232,054,896
  6. Step 6: Final answer
    x = 568,397,999,058.48

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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.