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Finding the Third Proportional to 290,907 and 617,028

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Solution

The third proportional to 290,907 and 617,028 is: 1,308,746.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,907 : 617,028 = 617,028 : x
  2. Step 2: Convert to fraction form
    290,907/617,028 = 617,028/x
  3. Step 3: Cross multiply
    290,907x = 617,028 × 617,028
  4. Step 4: Simplify right side
    290,907x = 380,723,552,784
  5. Step 5: Solve for x
    x = 380,723,552,784/290,907
  6. Step 6: Final answer
    x = 1,308,746.62

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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.