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Finding the Third Proportional to 137,712.66 and 212,344.03

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Solution

The third proportional to 137,712.66 and 212,344.03 is: 327,420.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,712.66 : 212,344.03 = 212,344.03 : x
  2. Step 2: Convert to fraction form
    137,712.66/212,344.03 = 212,344.03/x
  3. Step 3: Cross multiply
    137,712.66x = 212,344.03 × 212,344.03
  4. Step 4: Simplify right side
    137,712.66x = 45,089,987,607.50
  5. Step 5: Solve for x
    x = 45,089,987,607.50/137,712.66
  6. Step 6: Final answer
    x = 327,420.80

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.