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Finding the Third Proportional to 265,985 and 408,846

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Solution

The third proportional to 265,985 and 408,846 is: 628,437.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,985 : 408,846 = 408,846 : x
  2. Step 2: Convert to fraction form
    265,985/408,846 = 408,846/x
  3. Step 3: Cross multiply
    265,985x = 408,846 × 408,846
  4. Step 4: Simplify right side
    265,985x = 167,155,051,716
  5. Step 5: Solve for x
    x = 167,155,051,716/265,985
  6. Step 6: Final answer
    x = 628,437.89

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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.