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Finding the Third Proportional to 137,767.50 and 210,603

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Solution

The third proportional to 137,767.50 and 210,603 is: 321,945.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,767.50 : 210,603 = 210,603 : x
  2. Step 2: Convert to fraction form
    137,767.50/210,603 = 210,603/x
  3. Step 3: Cross multiply
    137,767.50x = 210,603 × 210,603
  4. Step 4: Simplify right side
    137,767.50x = 44,353,623,609
  5. Step 5: Solve for x
    x = 44,353,623,609/137,767.50
  6. Step 6: Final answer
    x = 321,945.48

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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.