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Finding the Third Proportional to 137,038 and 298,977

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Solution

The third proportional to 137,038 and 298,977 is: 652,280.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,038 : 298,977 = 298,977 : x
  2. Step 2: Convert to fraction form
    137,038/298,977 = 298,977/x
  3. Step 3: Cross multiply
    137,038x = 298,977 × 298,977
  4. Step 4: Simplify right side
    137,038x = 89,387,246,529
  5. Step 5: Solve for x
    x = 89,387,246,529/137,038
  6. Step 6: Final answer
    x = 652,280.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.