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Finding the Third Proportional to 113,078 and 149,513

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Solution

The third proportional to 113,078 and 149,513 is: 197,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,078 : 149,513 = 149,513 : x
  2. Step 2: Convert to fraction form
    113,078/149,513 = 149,513/x
  3. Step 3: Cross multiply
    113,078x = 149,513 × 149,513
  4. Step 4: Simplify right side
    113,078x = 22,354,137,169
  5. Step 5: Solve for x
    x = 22,354,137,169/113,078
  6. Step 6: Final answer
    x = 197,687.77

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.