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Finding the Third Proportional to 350,073 and 543,109

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Solution

The third proportional to 350,073 and 543,109 is: 842,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,073 : 543,109 = 543,109 : x
  2. Step 2: Convert to fraction form
    350,073/543,109 = 543,109/x
  3. Step 3: Cross multiply
    350,073x = 543,109 × 543,109
  4. Step 4: Simplify right side
    350,073x = 294,967,385,881
  5. Step 5: Solve for x
    x = 294,967,385,881/350,073
  6. Step 6: Final answer
    x = 842,588.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.