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Finding the Third Proportional to 291,522 and 637,044

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Solution

The third proportional to 291,522 and 637,044 is: 1,392,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,522 : 637,044 = 637,044 : x
  2. Step 2: Convert to fraction form
    291,522/637,044 = 637,044/x
  3. Step 3: Cross multiply
    291,522x = 637,044 × 637,044
  4. Step 4: Simplify right side
    291,522x = 405,825,057,936
  5. Step 5: Solve for x
    x = 405,825,057,936/291,522
  6. Step 6: Final answer
    x = 1,392,090.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.