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Finding the Third Proportional to 135,740 and 292,290

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Solution

The third proportional to 135,740 and 292,290 is: 629,390.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,740 : 292,290 = 292,290 : x
  2. Step 2: Convert to fraction form
    135,740/292,290 = 292,290/x
  3. Step 3: Cross multiply
    135,740x = 292,290 × 292,290
  4. Step 4: Simplify right side
    135,740x = 85,433,444,100
  5. Step 5: Solve for x
    x = 85,433,444,100/135,740
  6. Step 6: Final answer
    x = 629,390.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.