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Finding the Third Proportional to 454,478 and 702,993

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Solution

The third proportional to 454,478 and 702,993 is: 1,087,399.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,478 : 702,993 = 702,993 : x
  2. Step 2: Convert to fraction form
    454,478/702,993 = 702,993/x
  3. Step 3: Cross multiply
    454,478x = 702,993 × 702,993
  4. Step 4: Simplify right side
    454,478x = 494,199,158,049
  5. Step 5: Solve for x
    x = 494,199,158,049/454,478
  6. Step 6: Final answer
    x = 1,087,399.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.