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Finding the Third Proportional to 290,780 and 616,774

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Solution

The third proportional to 290,780 and 616,774 is: 1,308,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,780 : 616,774 = 616,774 : x
  2. Step 2: Convert to fraction form
    290,780/616,774 = 616,774/x
  3. Step 3: Cross multiply
    290,780x = 616,774 × 616,774
  4. Step 4: Simplify right side
    290,780x = 380,410,167,076
  5. Step 5: Solve for x
    x = 380,410,167,076/290,780
  6. Step 6: Final answer
    x = 1,308,240.48

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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.