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Finding the Third Proportional to 301,648 and 638,288

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Solution

The third proportional to 301,648 and 638,288 is: 1,350,619.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,648 : 638,288 = 638,288 : x
  2. Step 2: Convert to fraction form
    301,648/638,288 = 638,288/x
  3. Step 3: Cross multiply
    301,648x = 638,288 × 638,288
  4. Step 4: Simplify right side
    301,648x = 407,411,570,944
  5. Step 5: Solve for x
    x = 407,411,570,944/301,648
  6. Step 6: Final answer
    x = 1,350,619.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.