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Finding the Third Proportional to 147,280.78 and 212,344.03

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Solution

The third proportional to 147,280.78 and 212,344.03 is: 306,149.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,280.78 : 212,344.03 = 212,344.03 : x
  2. Step 2: Convert to fraction form
    147,280.78/212,344.03 = 212,344.03/x
  3. Step 3: Cross multiply
    147,280.78x = 212,344.03 × 212,344.03
  4. Step 4: Simplify right side
    147,280.78x = 45,089,987,607.50
  5. Step 5: Solve for x
    x = 45,089,987,607.50/147,280.78
  6. Step 6: Final answer
    x = 306,149.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.