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Finding the Third Proportional to 290,772 and 616,068

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Solution

The third proportional to 290,772 and 616,068 is: 1,305,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,772 : 616,068 = 616,068 : x
  2. Step 2: Convert to fraction form
    290,772/616,068 = 616,068/x
  3. Step 3: Cross multiply
    290,772x = 616,068 × 616,068
  4. Step 4: Simplify right side
    290,772x = 379,539,780,624
  5. Step 5: Solve for x
    x = 379,539,780,624/290,772
  6. Step 6: Final answer
    x = 1,305,283.11

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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.