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Finding the Third Proportional to 291,228 and 436,410

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Solution

The third proportional to 291,228 and 436,410 is: 653,967.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,228 : 436,410 = 436,410 : x
  2. Step 2: Convert to fraction form
    291,228/436,410 = 436,410/x
  3. Step 3: Cross multiply
    291,228x = 436,410 × 436,410
  4. Step 4: Simplify right side
    291,228x = 190,453,688,100
  5. Step 5: Solve for x
    x = 190,453,688,100/291,228
  6. Step 6: Final answer
    x = 653,967.64

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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.