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Finding the Third Proportional to 290,834.25 and 615,201

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Solution

The third proportional to 290,834.25 and 615,201 is: 1,301,333.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,834.25 : 615,201 = 615,201 : x
  2. Step 2: Convert to fraction form
    290,834.25/615,201 = 615,201/x
  3. Step 3: Cross multiply
    290,834.25x = 615,201 × 615,201
  4. Step 4: Simplify right side
    290,834.25x = 378,472,270,401
  5. Step 5: Solve for x
    x = 378,472,270,401/290,834.25
  6. Step 6: Final answer
    x = 1,301,333.22

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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.