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Finding the Third Proportional to 209,818 and 332,747

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Solution

The third proportional to 209,818 and 332,747 is: 527,698.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,818 : 332,747 = 332,747 : x
  2. Step 2: Convert to fraction form
    209,818/332,747 = 332,747/x
  3. Step 3: Cross multiply
    209,818x = 332,747 × 332,747
  4. Step 4: Simplify right side
    209,818x = 110,720,566,009
  5. Step 5: Solve for x
    x = 110,720,566,009/209,818
  6. Step 6: Final answer
    x = 527,698.13

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.