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Finding the Third Proportional to 155,266 and 328,996

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Solution

The third proportional to 155,266 and 328,996 is: 697,115.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,266 : 328,996 = 328,996 : x
  2. Step 2: Convert to fraction form
    155,266/328,996 = 328,996/x
  3. Step 3: Cross multiply
    155,266x = 328,996 × 328,996
  4. Step 4: Simplify right side
    155,266x = 108,238,368,016
  5. Step 5: Solve for x
    x = 108,238,368,016/155,266
  6. Step 6: Final answer
    x = 697,115.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.