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Finding the Third Proportional to 453,678 and 978,224

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Solution

The third proportional to 453,678 and 978,224 is: 2,109,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,678 : 978,224 = 978,224 : x
  2. Step 2: Convert to fraction form
    453,678/978,224 = 978,224/x
  3. Step 3: Cross multiply
    453,678x = 978,224 × 978,224
  4. Step 4: Simplify right side
    453,678x = 956,922,194,176
  5. Step 5: Solve for x
    x = 956,922,194,176/453,678
  6. Step 6: Final answer
    x = 2,109,254.13

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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.