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Finding the Third Proportional to 198,658.31 and 435,106.22

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Solution

The third proportional to 198,658.31 and 435,106.22 is: 952,980.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,658.31 : 435,106.22 = 435,106.22 : x
  2. Step 2: Convert to fraction form
    198,658.31/435,106.22 = 435,106.22/x
  3. Step 3: Cross multiply
    198,658.31x = 435,106.22 × 435,106.22
  4. Step 4: Simplify right side
    198,658.31x = 189,317,421,594.92
  5. Step 5: Solve for x
    x = 189,317,421,594.92/198,658.31
  6. Step 6: Final answer
    x = 952,980.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.