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Finding the Third Proportional to 678,082 and 1,446,128

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Solution

The third proportional to 678,082 and 1,446,128 is: 3,084,119.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,082 : 1,446,128 = 1,446,128 : x
  2. Step 2: Convert to fraction form
    678,082/1,446,128 = 1,446,128/x
  3. Step 3: Cross multiply
    678,082x = 1,446,128 × 1,446,128
  4. Step 4: Simplify right side
    678,082x = 2,091,286,192,384
  5. Step 5: Solve for x
    x = 2,091,286,192,384/678,082
  6. Step 6: Final answer
    x = 3,084,119.90

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.