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Finding the Third Proportional to 352,444.50 and 783,369

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Solution

The third proportional to 352,444.50 and 783,369 is: 1,741,173.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,444.50 : 783,369 = 783,369 : x
  2. Step 2: Convert to fraction form
    352,444.50/783,369 = 783,369/x
  3. Step 3: Cross multiply
    352,444.50x = 783,369 × 783,369
  4. Step 4: Simplify right side
    352,444.50x = 613,666,990,161
  5. Step 5: Solve for x
    x = 613,666,990,161/352,444.50
  6. Step 6: Final answer
    x = 1,741,173.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.