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Finding the Third Proportional to 201,821 and 432,619

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Solution

The third proportional to 201,821 and 432,619 is: 927,352.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821 : 432,619 = 432,619 : x
  2. Step 2: Convert to fraction form
    201,821/432,619 = 432,619/x
  3. Step 3: Cross multiply
    201,821x = 432,619 × 432,619
  4. Step 4: Simplify right side
    201,821x = 187,159,199,161
  5. Step 5: Solve for x
    x = 187,159,199,161/201,821
  6. Step 6: Final answer
    x = 927,352.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.