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Finding the Third Proportional to 290,739 and 616,000

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Solution

The third proportional to 290,739 and 616,000 is: 1,305,143.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,739 : 616,000 = 616,000 : x
  2. Step 2: Convert to fraction form
    290,739/616,000 = 616,000/x
  3. Step 3: Cross multiply
    290,739x = 616,000 × 616,000
  4. Step 4: Simplify right side
    290,739x = 379,456,000,000
  5. Step 5: Solve for x
    x = 379,456,000,000/290,739
  6. Step 6: Final answer
    x = 1,305,143.10

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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.