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Finding the Third Proportional to 371,310 and 557,784

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Solution

The third proportional to 371,310 and 557,784 is: 837,906.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,310 : 557,784 = 557,784 : x
  2. Step 2: Convert to fraction form
    371,310/557,784 = 557,784/x
  3. Step 3: Cross multiply
    371,310x = 557,784 × 557,784
  4. Step 4: Simplify right side
    371,310x = 311,122,990,656
  5. Step 5: Solve for x
    x = 311,122,990,656/371,310
  6. Step 6: Final answer
    x = 837,906.31

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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.