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Finding the Third Proportional to 219,258 and 328,007

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Solution

The third proportional to 219,258 and 328,007 is: 490,694.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,258 : 328,007 = 328,007 : x
  2. Step 2: Convert to fraction form
    219,258/328,007 = 328,007/x
  3. Step 3: Cross multiply
    219,258x = 328,007 × 328,007
  4. Step 4: Simplify right side
    219,258x = 107,588,592,049
  5. Step 5: Solve for x
    x = 107,588,592,049/219,258
  6. Step 6: Final answer
    x = 490,694.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.