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Finding the Third Proportional to 436,416.75 and 677,319

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Solution

The third proportional to 436,416.75 and 677,319 is: 1,051,199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,416.75 : 677,319 = 677,319 : x
  2. Step 2: Convert to fraction form
    436,416.75/677,319 = 677,319/x
  3. Step 3: Cross multiply
    436,416.75x = 677,319 × 677,319
  4. Step 4: Simplify right side
    436,416.75x = 458,761,027,761
  5. Step 5: Solve for x
    x = 458,761,027,761/436,416.75
  6. Step 6: Final answer
    x = 1,051,199.40

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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.