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Finding the Third Proportional to 290,744 and 616,714

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Solution

The third proportional to 290,744 and 616,714 is: 1,308,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,744 : 616,714 = 616,714 : x
  2. Step 2: Convert to fraction form
    290,744/616,714 = 616,714/x
  3. Step 3: Cross multiply
    290,744x = 616,714 × 616,714
  4. Step 4: Simplify right side
    290,744x = 380,336,157,796
  5. Step 5: Solve for x
    x = 380,336,157,796/290,744
  6. Step 6: Final answer
    x = 1,308,147.92

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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.