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Finding the Third Proportional to 228,324 and 509,136

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Solution

The third proportional to 228,324 and 509,136 is: 1,135,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,324 : 509,136 = 509,136 : x
  2. Step 2: Convert to fraction form
    228,324/509,136 = 509,136/x
  3. Step 3: Cross multiply
    228,324x = 509,136 × 509,136
  4. Step 4: Simplify right side
    228,324x = 259,219,466,496
  5. Step 5: Solve for x
    x = 259,219,466,496/228,324
  6. Step 6: Final answer
    x = 1,135,314.14

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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.