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Finding the Third Proportional to 290,208 and 651,834

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Solution

The third proportional to 290,208 and 651,834 is: 1,464,079.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,208 : 651,834 = 651,834 : x
  2. Step 2: Convert to fraction form
    290,208/651,834 = 651,834/x
  3. Step 3: Cross multiply
    290,208x = 651,834 × 651,834
  4. Step 4: Simplify right side
    290,208x = 424,887,563,556
  5. Step 5: Solve for x
    x = 424,887,563,556/290,208
  6. Step 6: Final answer
    x = 1,464,079.43

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.