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Finding the Third Proportional to 259,728 and 559,920

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Solution

The third proportional to 259,728 and 559,920 is: 1,207,072.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,728 : 559,920 = 559,920 : x
  2. Step 2: Convert to fraction form
    259,728/559,920 = 559,920/x
  3. Step 3: Cross multiply
    259,728x = 559,920 × 559,920
  4. Step 4: Simplify right side
    259,728x = 313,510,406,400
  5. Step 5: Solve for x
    x = 313,510,406,400/259,728
  6. Step 6: Final answer
    x = 1,207,072.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.