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Finding the Third Proportional to 109,089 and 235,390

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Solution

The third proportional to 109,089 and 235,390 is: 507,919.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,089 : 235,390 = 235,390 : x
  2. Step 2: Convert to fraction form
    109,089/235,390 = 235,390/x
  3. Step 3: Cross multiply
    109,089x = 235,390 × 235,390
  4. Step 4: Simplify right side
    109,089x = 55,408,452,100
  5. Step 5: Solve for x
    x = 55,408,452,100/109,089
  6. Step 6: Final answer
    x = 507,919.70

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.