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Finding the Third Proportional to 135,222.75 and 210,209.34

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Solution

The third proportional to 135,222.75 and 210,209.34 is: 326,779.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,222.75 : 210,209.34 = 210,209.34 : x
  2. Step 2: Convert to fraction form
    135,222.75/210,209.34 = 210,209.34/x
  3. Step 3: Cross multiply
    135,222.75x = 210,209.34 × 210,209.34
  4. Step 4: Simplify right side
    135,222.75x = 44,187,968,199.81
  5. Step 5: Solve for x
    x = 44,187,968,199.81/135,222.75
  6. Step 6: Final answer
    x = 326,779.10

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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.