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Finding the Third Proportional to 211,097 and 430,790.50

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Solution

The third proportional to 211,097 and 430,790.50 is: 879,124.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,097 : 430,790.50 = 430,790.50 : x
  2. Step 2: Convert to fraction form
    211,097/430,790.50 = 430,790.50/x
  3. Step 3: Cross multiply
    211,097x = 430,790.50 × 430,790.50
  4. Step 4: Simplify right side
    211,097x = 185,580,454,890.25
  5. Step 5: Solve for x
    x = 185,580,454,890.25/211,097
  6. Step 6: Final answer
    x = 879,124.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.