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Finding the Third Proportional to 290,769 and 616,752

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Solution

The third proportional to 290,769 and 616,752 is: 1,308,196.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,769 : 616,752 = 616,752 : x
  2. Step 2: Convert to fraction form
    290,769/616,752 = 616,752/x
  3. Step 3: Cross multiply
    290,769x = 616,752 × 616,752
  4. Step 4: Simplify right side
    290,769x = 380,383,029,504
  5. Step 5: Solve for x
    x = 380,383,029,504/290,769
  6. Step 6: Final answer
    x = 1,308,196.64

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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.