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Finding the Third Proportional to 137,624.63 and 212,698.69

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Solution

The third proportional to 137,624.63 and 212,698.69 is: 328,725.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,624.63 : 212,698.69 = 212,698.69 : x
  2. Step 2: Convert to fraction form
    137,624.63/212,698.69 = 212,698.69/x
  3. Step 3: Cross multiply
    137,624.63x = 212,698.69 × 212,698.69
  4. Step 4: Simplify right side
    137,624.63x = 45,240,731,664.22
  5. Step 5: Solve for x
    x = 45,240,731,664.22/137,624.63
  6. Step 6: Final answer
    x = 328,725.56

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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.