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Finding the Third Proportional to 205,658 and 325,911

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Solution

The third proportional to 205,658 and 325,911 is: 516,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,658 : 325,911 = 325,911 : x
  2. Step 2: Convert to fraction form
    205,658/325,911 = 325,911/x
  3. Step 3: Cross multiply
    205,658x = 325,911 × 325,911
  4. Step 4: Simplify right side
    205,658x = 106,217,979,921
  5. Step 5: Solve for x
    x = 106,217,979,921/205,658
  6. Step 6: Final answer
    x = 516,478.72

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.