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Finding the Third Proportional to 290,686 and 616,553

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Solution

The third proportional to 290,686 and 616,553 is: 1,307,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,686 : 616,553 = 616,553 : x
  2. Step 2: Convert to fraction form
    290,686/616,553 = 616,553/x
  3. Step 3: Cross multiply
    290,686x = 616,553 × 616,553
  4. Step 4: Simplify right side
    290,686x = 380,137,601,809
  5. Step 5: Solve for x
    x = 380,137,601,809/290,686
  6. Step 6: Final answer
    x = 1,307,725.87

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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.