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Finding the Third Proportional to 219,609 and 321,036

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Solution

The third proportional to 219,609 and 321,036 is: 469,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,609 : 321,036 = 321,036 : x
  2. Step 2: Convert to fraction form
    219,609/321,036 = 321,036/x
  3. Step 3: Cross multiply
    219,609x = 321,036 × 321,036
  4. Step 4: Simplify right side
    219,609x = 103,064,113,296
  5. Step 5: Solve for x
    x = 103,064,113,296/219,609
  6. Step 6: Final answer
    x = 469,307.33

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.