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Finding the Third Proportional to 228,670 and 509,792

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Solution

The third proportional to 228,670 and 509,792 is: 1,136,519.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,670 : 509,792 = 509,792 : x
  2. Step 2: Convert to fraction form
    228,670/509,792 = 509,792/x
  3. Step 3: Cross multiply
    228,670x = 509,792 × 509,792
  4. Step 4: Simplify right side
    228,670x = 259,887,883,264
  5. Step 5: Solve for x
    x = 259,887,883,264/228,670
  6. Step 6: Final answer
    x = 1,136,519.37

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.