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Finding the Third Proportional to 371,323 and 557,805

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Solution

The third proportional to 371,323 and 557,805 is: 837,940.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,323 : 557,805 = 557,805 : x
  2. Step 2: Convert to fraction form
    371,323/557,805 = 557,805/x
  3. Step 3: Cross multiply
    371,323x = 557,805 × 557,805
  4. Step 4: Simplify right side
    371,323x = 311,146,418,025
  5. Step 5: Solve for x
    x = 311,146,418,025/371,323
  6. Step 6: Final answer
    x = 837,940.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.