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Finding the Third Proportional to 436,726 and 618,638

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Solution

The third proportional to 436,726 and 618,638 is: 876,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,726 : 618,638 = 618,638 : x
  2. Step 2: Convert to fraction form
    436,726/618,638 = 618,638/x
  3. Step 3: Cross multiply
    436,726x = 618,638 × 618,638
  4. Step 4: Simplify right side
    436,726x = 382,712,975,044
  5. Step 5: Solve for x
    x = 382,712,975,044/436,726
  6. Step 6: Final answer
    x = 876,322.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.