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Finding the Third Proportional to 236,312 and 509,728

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Solution

The third proportional to 236,312 and 509,728 is: 1,099,489.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,312 : 509,728 = 509,728 : x
  2. Step 2: Convert to fraction form
    236,312/509,728 = 509,728/x
  3. Step 3: Cross multiply
    236,312x = 509,728 × 509,728
  4. Step 4: Simplify right side
    236,312x = 259,822,633,984
  5. Step 5: Solve for x
    x = 259,822,633,984/236,312
  6. Step 6: Final answer
    x = 1,099,489.80

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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.