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Finding the Third Proportional to 380,045.25 and 820,989

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Solution

The third proportional to 380,045.25 and 820,989 is: 1,773,533.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,045.25 : 820,989 = 820,989 : x
  2. Step 2: Convert to fraction form
    380,045.25/820,989 = 820,989/x
  3. Step 3: Cross multiply
    380,045.25x = 820,989 × 820,989
  4. Step 4: Simplify right side
    380,045.25x = 674,022,938,121
  5. Step 5: Solve for x
    x = 674,022,938,121/380,045.25
  6. Step 6: Final answer
    x = 1,773,533.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.