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Finding the Third Proportional to 450,666 and 978,362

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Solution

The third proportional to 450,666 and 978,362 is: 2,123,950.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,666 : 978,362 = 978,362 : x
  2. Step 2: Convert to fraction form
    450,666/978,362 = 978,362/x
  3. Step 3: Cross multiply
    450,666x = 978,362 × 978,362
  4. Step 4: Simplify right side
    450,666x = 957,192,203,044
  5. Step 5: Solve for x
    x = 957,192,203,044/450,666
  6. Step 6: Final answer
    x = 2,123,950.34

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