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Finding the Third Proportional to 291,216 and 436,392

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Solution

The third proportional to 291,216 and 436,392 is: 653,940.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,216 : 436,392 = 436,392 : x
  2. Step 2: Convert to fraction form
    291,216/436,392 = 436,392/x
  3. Step 3: Cross multiply
    291,216x = 436,392 × 436,392
  4. Step 4: Simplify right side
    291,216x = 190,437,977,664
  5. Step 5: Solve for x
    x = 190,437,977,664/291,216
  6. Step 6: Final answer
    x = 653,940.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.