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Finding the Third Proportional to 290,347 and 626,616

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Solution

The third proportional to 290,347 and 626,616 is: 1,352,339.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,347 : 626,616 = 626,616 : x
  2. Step 2: Convert to fraction form
    290,347/626,616 = 626,616/x
  3. Step 3: Cross multiply
    290,347x = 626,616 × 626,616
  4. Step 4: Simplify right side
    290,347x = 392,647,611,456
  5. Step 5: Solve for x
    x = 392,647,611,456/290,347
  6. Step 6: Final answer
    x = 1,352,339.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.