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Finding the Third Proportional to 307,318 and 414,284

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Solution

The third proportional to 307,318 and 414,284 is: 558,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,318 : 414,284 = 414,284 : x
  2. Step 2: Convert to fraction form
    307,318/414,284 = 414,284/x
  3. Step 3: Cross multiply
    307,318x = 414,284 × 414,284
  4. Step 4: Simplify right side
    307,318x = 171,631,232,656
  5. Step 5: Solve for x
    x = 171,631,232,656/307,318
  6. Step 6: Final answer
    x = 558,480.90

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.