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Finding the Third Proportional to 436,419 and 677,328.75

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Solution

The third proportional to 436,419 and 677,328.75 is: 1,051,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,419 : 677,328.75 = 677,328.75 : x
  2. Step 2: Convert to fraction form
    436,419/677,328.75 = 677,328.75/x
  3. Step 3: Cross multiply
    436,419x = 677,328.75 × 677,328.75
  4. Step 4: Simplify right side
    436,419x = 458,774,235,576.56
  5. Step 5: Solve for x
    x = 458,774,235,576.56/436,419
  6. Step 6: Final answer
    x = 1,051,224.25

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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.