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Finding the Third Proportional to 137,623.22 and 212,697.14

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Solution

The third proportional to 137,623.22 and 212,697.14 is: 328,724.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,623.22 : 212,697.14 = 212,697.14 : x
  2. Step 2: Convert to fraction form
    137,623.22/212,697.14 = 212,697.14/x
  3. Step 3: Cross multiply
    137,623.22x = 212,697.14 × 212,697.14
  4. Step 4: Simplify right side
    137,623.22x = 45,240,073,630.05
  5. Step 5: Solve for x
    x = 45,240,073,630.05/137,623.22
  6. Step 6: Final answer
    x = 328,724.14

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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.