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Finding the Third Proportional to 454,480 and 978,728

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Solution

The third proportional to 454,480 and 978,728 is: 2,107,702.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,480 : 978,728 = 978,728 : x
  2. Step 2: Convert to fraction form
    454,480/978,728 = 978,728/x
  3. Step 3: Cross multiply
    454,480x = 978,728 × 978,728
  4. Step 4: Simplify right side
    454,480x = 957,908,497,984
  5. Step 5: Solve for x
    x = 957,908,497,984/454,480
  6. Step 6: Final answer
    x = 2,107,702.20

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.