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Finding the Third Proportional to 290,316.75 and 627,342.75

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Solution

The third proportional to 290,316.75 and 627,342.75 is: 1,355,619.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,316.75 : 627,342.75 = 627,342.75 : x
  2. Step 2: Convert to fraction form
    290,316.75/627,342.75 = 627,342.75/x
  3. Step 3: Cross multiply
    290,316.75x = 627,342.75 × 627,342.75
  4. Step 4: Simplify right side
    290,316.75x = 393,558,925,977.56
  5. Step 5: Solve for x
    x = 393,558,925,977.56/290,316.75
  6. Step 6: Final answer
    x = 1,355,619.08

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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.