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Finding the Third Proportional to 137,640 and 210,408

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Solution

The third proportional to 137,640 and 210,408 is: 321,647.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,640 : 210,408 = 210,408 : x
  2. Step 2: Convert to fraction form
    137,640/210,408 = 210,408/x
  3. Step 3: Cross multiply
    137,640x = 210,408 × 210,408
  4. Step 4: Simplify right side
    137,640x = 44,271,526,464
  5. Step 5: Solve for x
    x = 44,271,526,464/137,640
  6. Step 6: Final answer
    x = 321,647.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.