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Finding the Third Proportional to 200,726 and 302,790

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Solution

The third proportional to 200,726 and 302,790 is: 456,750.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,726 : 302,790 = 302,790 : x
  2. Step 2: Convert to fraction form
    200,726/302,790 = 302,790/x
  3. Step 3: Cross multiply
    200,726x = 302,790 × 302,790
  4. Step 4: Simplify right side
    200,726x = 91,681,784,100
  5. Step 5: Solve for x
    x = 91,681,784,100/200,726
  6. Step 6: Final answer
    x = 456,750.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.