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Finding the Third Proportional to 647,355 and 980,028

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Solution

The third proportional to 647,355 and 980,028 is: 1,483,660.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,355 : 980,028 = 980,028 : x
  2. Step 2: Convert to fraction form
    647,355/980,028 = 980,028/x
  3. Step 3: Cross multiply
    647,355x = 980,028 × 980,028
  4. Step 4: Simplify right side
    647,355x = 960,454,880,784
  5. Step 5: Solve for x
    x = 960,454,880,784/647,355
  6. Step 6: Final answer
    x = 1,483,660.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.