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Finding the Third Proportional to 290,872 and 616,904

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Solution

The third proportional to 290,872 and 616,904 is: 1,308,378.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,872 : 616,904 = 616,904 : x
  2. Step 2: Convert to fraction form
    290,872/616,904 = 616,904/x
  3. Step 3: Cross multiply
    290,872x = 616,904 × 616,904
  4. Step 4: Simplify right side
    290,872x = 380,570,545,216
  5. Step 5: Solve for x
    x = 380,570,545,216/290,872
  6. Step 6: Final answer
    x = 1,308,378.07

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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.