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Finding the Third Proportional to 212,559.19 and 329,106.80

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Solution

The third proportional to 212,559.19 and 329,106.80 is: 509,558.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,559.19 : 329,106.80 = 329,106.80 : x
  2. Step 2: Convert to fraction form
    212,559.19/329,106.80 = 329,106.80/x
  3. Step 3: Cross multiply
    212,559.19x = 329,106.80 × 329,106.80
  4. Step 4: Simplify right side
    212,559.19x = 108,311,283,749.32
  5. Step 5: Solve for x
    x = 108,311,283,749.32/212,559.19
  6. Step 6: Final answer
    x = 509,558.23

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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.