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Finding the Third Proportional to 280,785 and 436,407

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Solution

The third proportional to 280,785 and 436,407 is: 678,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,785 : 436,407 = 436,407 : x
  2. Step 2: Convert to fraction form
    280,785/436,407 = 436,407/x
  3. Step 3: Cross multiply
    280,785x = 436,407 × 436,407
  4. Step 4: Simplify right side
    280,785x = 190,451,069,649
  5. Step 5: Solve for x
    x = 190,451,069,649/280,785
  6. Step 6: Final answer
    x = 678,280.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.