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Finding the Third Proportional to 291,493 and 637,490

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Solution

The third proportional to 291,493 and 637,490 is: 1,394,179.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,493 : 637,490 = 637,490 : x
  2. Step 2: Convert to fraction form
    291,493/637,490 = 637,490/x
  3. Step 3: Cross multiply
    291,493x = 637,490 × 637,490
  4. Step 4: Simplify right side
    291,493x = 406,393,500,100
  5. Step 5: Solve for x
    x = 406,393,500,100/291,493
  6. Step 6: Final answer
    x = 1,394,179.28

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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.