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Finding the Third Proportional to 212,838.56 and 318,671.06

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Solution

The third proportional to 212,838.56 and 318,671.06 is: 477,128.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,838.56 : 318,671.06 = 318,671.06 : x
  2. Step 2: Convert to fraction form
    212,838.56/318,671.06 = 318,671.06/x
  3. Step 3: Cross multiply
    212,838.56x = 318,671.06 × 318,671.06
  4. Step 4: Simplify right side
    212,838.56x = 101,551,246,074.88
  5. Step 5: Solve for x
    x = 101,551,246,074.88/212,838.56
  6. Step 6: Final answer
    x = 477,128.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.