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Finding the Third Proportional to 218,345 and 347,201

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Solution

The third proportional to 218,345 and 347,201 is: 552,101.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,345 : 347,201 = 347,201 : x
  2. Step 2: Convert to fraction form
    218,345/347,201 = 347,201/x
  3. Step 3: Cross multiply
    218,345x = 347,201 × 347,201
  4. Step 4: Simplify right side
    218,345x = 120,548,534,401
  5. Step 5: Solve for x
    x = 120,548,534,401/218,345
  6. Step 6: Final answer
    x = 552,101.19

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.