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Finding the Third Proportional to 205,270 and 326,878

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Solution

The third proportional to 205,270 and 326,878 is: 520,530.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,270 : 326,878 = 326,878 : x
  2. Step 2: Convert to fraction form
    205,270/326,878 = 326,878/x
  3. Step 3: Cross multiply
    205,270x = 326,878 × 326,878
  4. Step 4: Simplify right side
    205,270x = 106,849,226,884
  5. Step 5: Solve for x
    x = 106,849,226,884/205,270
  6. Step 6: Final answer
    x = 520,530.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.