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Finding the Third Proportional to 290,912 and 617,038

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Solution

The third proportional to 290,912 and 617,038 is: 1,308,766.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,912 : 617,038 = 617,038 : x
  2. Step 2: Convert to fraction form
    290,912/617,038 = 617,038/x
  3. Step 3: Cross multiply
    290,912x = 617,038 × 617,038
  4. Step 4: Simplify right side
    290,912x = 380,735,893,444
  5. Step 5: Solve for x
    x = 380,735,893,444/290,912
  6. Step 6: Final answer
    x = 1,308,766.55

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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.