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Finding the Third Proportional to 103,136.63 and 212,697.56

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Solution

The third proportional to 103,136.63 and 212,697.56 is: 438,643.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,136.63 : 212,697.56 = 212,697.56 : x
  2. Step 2: Convert to fraction form
    103,136.63/212,697.56 = 212,697.56/x
  3. Step 3: Cross multiply
    103,136.63x = 212,697.56 × 212,697.56
  4. Step 4: Simplify right side
    103,136.63x = 45,240,253,093.44
  5. Step 5: Solve for x
    x = 45,240,253,093.44/103,136.63
  6. Step 6: Final answer
    x = 438,643.92

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.