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Finding the Third Proportional to 290,900 and 623,272

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Solution

The third proportional to 290,900 and 623,272 is: 1,335,400.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,900 : 623,272 = 623,272 : x
  2. Step 2: Convert to fraction form
    290,900/623,272 = 623,272/x
  3. Step 3: Cross multiply
    290,900x = 623,272 × 623,272
  4. Step 4: Simplify right side
    290,900x = 388,467,985,984
  5. Step 5: Solve for x
    x = 388,467,985,984/290,900
  6. Step 6: Final answer
    x = 1,335,400.43

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.