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Finding the Third Proportional to 290,318 and 627,346

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Solution

The third proportional to 290,318 and 627,346 is: 1,355,627.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,318 : 627,346 = 627,346 : x
  2. Step 2: Convert to fraction form
    290,318/627,346 = 627,346/x
  3. Step 3: Cross multiply
    290,318x = 627,346 × 627,346
  4. Step 4: Simplify right side
    290,318x = 393,563,003,716
  5. Step 5: Solve for x
    x = 393,563,003,716/290,318
  6. Step 6: Final answer
    x = 1,355,627.29

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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.