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Finding the Third Proportional to 450,673 and 978,376

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Solution

The third proportional to 450,673 and 978,376 is: 2,123,978.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,673 : 978,376 = 978,376 : x
  2. Step 2: Convert to fraction form
    450,673/978,376 = 978,376/x
  3. Step 3: Cross multiply
    450,673x = 978,376 × 978,376
  4. Step 4: Simplify right side
    450,673x = 957,219,597,376
  5. Step 5: Solve for x
    x = 957,219,597,376/450,673
  6. Step 6: Final answer
    x = 2,123,978.13

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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.