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Finding the Third Proportional to 473,550 and 1,040,412

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Solution

The third proportional to 473,550 and 1,040,412 is: 2,285,834.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,550 : 1,040,412 = 1,040,412 : x
  2. Step 2: Convert to fraction form
    473,550/1,040,412 = 1,040,412/x
  3. Step 3: Cross multiply
    473,550x = 1,040,412 × 1,040,412
  4. Step 4: Simplify right side
    473,550x = 1,082,457,129,744
  5. Step 5: Solve for x
    x = 1,082,457,129,744/473,550
  6. Step 6: Final answer
    x = 2,285,834.93

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.