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Finding the Third Proportional to 291,710 and 637,408

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Solution

The third proportional to 291,710 and 637,408 is: 1,392,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,710 : 637,408 = 637,408 : x
  2. Step 2: Convert to fraction form
    291,710/637,408 = 637,408/x
  3. Step 3: Cross multiply
    291,710x = 637,408 × 637,408
  4. Step 4: Simplify right side
    291,710x = 406,288,958,464
  5. Step 5: Solve for x
    x = 406,288,958,464/291,710
  6. Step 6: Final answer
    x = 1,392,783.79

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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.