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Finding the Third Proportional to 290,032 and 637,272

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Solution

The third proportional to 290,032 and 637,272 is: 1,400,244.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,032 : 637,272 = 637,272 : x
  2. Step 2: Convert to fraction form
    290,032/637,272 = 637,272/x
  3. Step 3: Cross multiply
    290,032x = 637,272 × 637,272
  4. Step 4: Simplify right side
    290,032x = 406,115,601,984
  5. Step 5: Solve for x
    x = 406,115,601,984/290,032
  6. Step 6: Final answer
    x = 1,400,244.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.