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Finding the Third Proportional to 219,314 and 328,090

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Solution

The third proportional to 219,314 and 328,090 is: 490,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,314 : 328,090 = 328,090 : x
  2. Step 2: Convert to fraction form
    219,314/328,090 = 328,090/x
  3. Step 3: Cross multiply
    219,314x = 328,090 × 328,090
  4. Step 4: Simplify right side
    219,314x = 107,643,048,100
  5. Step 5: Solve for x
    x = 107,643,048,100/219,314
  6. Step 6: Final answer
    x = 490,817.04

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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.