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Finding the Third Proportional to 291,378 and 623,274

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Solution

The third proportional to 291,378 and 623,274 is: 1,333,218.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,378 : 623,274 = 623,274 : x
  2. Step 2: Convert to fraction form
    291,378/623,274 = 623,274/x
  3. Step 3: Cross multiply
    291,378x = 623,274 × 623,274
  4. Step 4: Simplify right side
    291,378x = 388,470,479,076
  5. Step 5: Solve for x
    x = 388,470,479,076/291,378
  6. Step 6: Final answer
    x = 1,333,218.29

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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.