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Finding the Third Proportional to 453,669 and 978,208

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Solution

The third proportional to 453,669 and 978,208 is: 2,109,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,669 : 978,208 = 978,208 : x
  2. Step 2: Convert to fraction form
    453,669/978,208 = 978,208/x
  3. Step 3: Cross multiply
    453,669x = 978,208 × 978,208
  4. Step 4: Simplify right side
    453,669x = 956,890,891,264
  5. Step 5: Solve for x
    x = 956,890,891,264/453,669
  6. Step 6: Final answer
    x = 2,109,226.97

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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.