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Finding the Third Proportional to 218,556 and 347,526

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Solution

The third proportional to 218,556 and 347,526 is: 552,601.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,556 : 347,526 = 347,526 : x
  2. Step 2: Convert to fraction form
    218,556/347,526 = 347,526/x
  3. Step 3: Cross multiply
    218,556x = 347,526 × 347,526
  4. Step 4: Simplify right side
    218,556x = 120,774,320,676
  5. Step 5: Solve for x
    x = 120,774,320,676/218,556
  6. Step 6: Final answer
    x = 552,601.26

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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.