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Finding the Third Proportional to 454,454 and 984,128

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Solution

The third proportional to 454,454 and 984,128 is: 2,131,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,454 : 984,128 = 984,128 : x
  2. Step 2: Convert to fraction form
    454,454/984,128 = 984,128/x
  3. Step 3: Cross multiply
    454,454x = 984,128 × 984,128
  4. Step 4: Simplify right side
    454,454x = 968,507,920,384
  5. Step 5: Solve for x
    x = 968,507,920,384/454,454
  6. Step 6: Final answer
    x = 2,131,146.21

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Why These Related Problems?

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