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Finding the Third Proportional to 273,078.84 and 423,989.44

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Solution

The third proportional to 273,078.84 and 423,989.44 is: 658,297.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,078.84 : 423,989.44 = 423,989.44 : x
  2. Step 2: Convert to fraction form
    273,078.84/423,989.44 = 423,989.44/x
  3. Step 3: Cross multiply
    273,078.84x = 423,989.44 × 423,989.44
  4. Step 4: Simplify right side
    273,078.84x = 179,767,043,111.57
  5. Step 5: Solve for x
    x = 179,767,043,111.57/273,078.84
  6. Step 6: Final answer
    x = 658,297.22

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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.