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Finding the Third Proportional to 102,235 and 209,570

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Solution

The third proportional to 102,235 and 209,570 is: 429,594.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,235 : 209,570 = 209,570 : x
  2. Step 2: Convert to fraction form
    102,235/209,570 = 209,570/x
  3. Step 3: Cross multiply
    102,235x = 209,570 × 209,570
  4. Step 4: Simplify right side
    102,235x = 43,919,584,900
  5. Step 5: Solve for x
    x = 43,919,584,900/102,235
  6. Step 6: Final answer
    x = 429,594.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.