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Finding the Third Proportional to 450,382,770 and 978,230,754

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Solution

The third proportional to 450,382,770 and 978,230,754 is: 2,124,715,845.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,382,770 : 978,230,754 = 978,230,754 : x
  2. Step 2: Convert to fraction form
    450,382,770/978,230,754 = 978,230,754/x
  3. Step 3: Cross multiply
    450,382,770x = 978,230,754 × 978,230,754
  4. Step 4: Simplify right side
    450,382,770x = 956,935,408,071,408,512
  5. Step 5: Solve for x
    x = 956,935,408,071,408,512/450,382,770
  6. Step 6: Final answer
    x = 2,124,715,845.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.