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Finding the Third Proportional to 219,135 and 328,702

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Solution

The third proportional to 219,135 and 328,702 is: 493,052.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,135 : 328,702 = 328,702 : x
  2. Step 2: Convert to fraction form
    219,135/328,702 = 328,702/x
  3. Step 3: Cross multiply
    219,135x = 328,702 × 328,702
  4. Step 4: Simplify right side
    219,135x = 108,045,004,804
  5. Step 5: Solve for x
    x = 108,045,004,804/219,135
  6. Step 6: Final answer
    x = 493,052.25

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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.