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Finding the Third Proportional to 290,840 and 616,840

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Solution

The third proportional to 290,840 and 616,840 is: 1,308,250.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,840 : 616,840 = 616,840 : x
  2. Step 2: Convert to fraction form
    290,840/616,840 = 616,840/x
  3. Step 3: Cross multiply
    290,840x = 616,840 × 616,840
  4. Step 4: Simplify right side
    290,840x = 380,491,585,600
  5. Step 5: Solve for x
    x = 380,491,585,600/290,840
  6. Step 6: Final answer
    x = 1,308,250.54

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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.