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Finding the Third Proportional to 201,821 and 456,072

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Solution

The third proportional to 201,821 and 456,072 is: 1,030,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,821 : 456,072 = 456,072 : x
  2. Step 2: Convert to fraction form
    201,821/456,072 = 456,072/x
  3. Step 3: Cross multiply
    201,821x = 456,072 × 456,072
  4. Step 4: Simplify right side
    201,821x = 208,001,669,184
  5. Step 5: Solve for x
    x = 208,001,669,184/201,821
  6. Step 6: Final answer
    x = 1,030,624.51

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.