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Finding the Third Proportional to 219,820 and 450,080

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Solution

The third proportional to 219,820 and 450,080 is: 921,535.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,820 : 450,080 = 450,080 : x
  2. Step 2: Convert to fraction form
    219,820/450,080 = 450,080/x
  3. Step 3: Cross multiply
    219,820x = 450,080 × 450,080
  4. Step 4: Simplify right side
    219,820x = 202,572,006,400
  5. Step 5: Solve for x
    x = 202,572,006,400/219,820
  6. Step 6: Final answer
    x = 921,535.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.