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Finding the Third Proportional to 290,816 and 616,786

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Solution

The third proportional to 290,816 and 616,786 is: 1,308,129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,816 : 616,786 = 616,786 : x
  2. Step 2: Convert to fraction form
    290,816/616,786 = 616,786/x
  3. Step 3: Cross multiply
    290,816x = 616,786 × 616,786
  4. Step 4: Simplify right side
    290,816x = 380,424,969,796
  5. Step 5: Solve for x
    x = 380,424,969,796/290,816
  6. Step 6: Final answer
    x = 1,308,129.44

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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.