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Finding the Third Proportional to 218,303 and 482,488

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Solution

The third proportional to 218,303 and 482,488 is: 1,066,383.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,303 : 482,488 = 482,488 : x
  2. Step 2: Convert to fraction form
    218,303/482,488 = 482,488/x
  3. Step 3: Cross multiply
    218,303x = 482,488 × 482,488
  4. Step 4: Simplify right side
    218,303x = 232,794,670,144
  5. Step 5: Solve for x
    x = 232,794,670,144/218,303
  6. Step 6: Final answer
    x = 1,066,383.28

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.