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Finding the Third Proportional to 265,855 and 408,638.25

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Solution

The third proportional to 265,855 and 408,638.25 is: 628,106.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,855 : 408,638.25 = 408,638.25 : x
  2. Step 2: Convert to fraction form
    265,855/408,638.25 = 408,638.25/x
  3. Step 3: Cross multiply
    265,855x = 408,638.25 × 408,638.25
  4. Step 4: Simplify right side
    265,855x = 166,985,219,363.06
  5. Step 5: Solve for x
    x = 166,985,219,363.06/265,855
  6. Step 6: Final answer
    x = 628,106.37

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.