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Finding the Third Proportional to 103,080 and 223,008

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Solution

The third proportional to 103,080 and 223,008 is: 482,465.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,080 : 223,008 = 223,008 : x
  2. Step 2: Convert to fraction form
    103,080/223,008 = 223,008/x
  3. Step 3: Cross multiply
    103,080x = 223,008 × 223,008
  4. Step 4: Simplify right side
    103,080x = 49,732,568,064
  5. Step 5: Solve for x
    x = 49,732,568,064/103,080
  6. Step 6: Final answer
    x = 482,465.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.