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Finding the Third Proportional to 102,243 and 209,445

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Solution

The third proportional to 102,243 and 209,445 is: 429,048.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,243 : 209,445 = 209,445 : x
  2. Step 2: Convert to fraction form
    102,243/209,445 = 209,445/x
  3. Step 3: Cross multiply
    102,243x = 209,445 × 209,445
  4. Step 4: Simplify right side
    102,243x = 43,867,208,025
  5. Step 5: Solve for x
    x = 43,867,208,025/102,243
  6. Step 6: Final answer
    x = 429,048.52

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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.