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Finding the Third Proportional to 453,784 and 978,278

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Solution

The third proportional to 453,784 and 978,278 is: 2,108,994.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,784 : 978,278 = 978,278 : x
  2. Step 2: Convert to fraction form
    453,784/978,278 = 978,278/x
  3. Step 3: Cross multiply
    453,784x = 978,278 × 978,278
  4. Step 4: Simplify right side
    453,784x = 957,027,845,284
  5. Step 5: Solve for x
    x = 957,027,845,284/453,784
  6. Step 6: Final answer
    x = 2,108,994.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.