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Finding the Third Proportional to 511,800 and 783,342

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Solution

The third proportional to 511,800 and 783,342 is: 1,198,954.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,800 : 783,342 = 783,342 : x
  2. Step 2: Convert to fraction form
    511,800/783,342 = 783,342/x
  3. Step 3: Cross multiply
    511,800x = 783,342 × 783,342
  4. Step 4: Simplify right side
    511,800x = 613,624,688,964
  5. Step 5: Solve for x
    x = 613,624,688,964/511,800
  6. Step 6: Final answer
    x = 1,198,954.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.