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Finding the Third Proportional to 301,646 and 638,284

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Solution

The third proportional to 301,646 and 638,284 is: 1,350,611.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,646 : 638,284 = 638,284 : x
  2. Step 2: Convert to fraction form
    301,646/638,284 = 638,284/x
  3. Step 3: Cross multiply
    301,646x = 638,284 × 638,284
  4. Step 4: Simplify right side
    301,646x = 407,406,464,656
  5. Step 5: Solve for x
    x = 407,406,464,656/301,646
  6. Step 6: Final answer
    x = 1,350,611.20

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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.