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Finding the Third Proportional to 139,145.63 and 211,373.44

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Solution

The third proportional to 139,145.63 and 211,373.44 is: 321,093.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,145.63 : 211,373.44 = 211,373.44 : x
  2. Step 2: Convert to fraction form
    139,145.63/211,373.44 = 211,373.44/x
  3. Step 3: Cross multiply
    139,145.63x = 211,373.44 × 211,373.44
  4. Step 4: Simplify right side
    139,145.63x = 44,678,730,080.57
  5. Step 5: Solve for x
    x = 44,678,730,080.57/139,145.63
  6. Step 6: Final answer
    x = 321,093.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.