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Finding the Third Proportional to 200,051 and 306,758

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Solution

The third proportional to 200,051 and 306,758 is: 470,382.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,051 : 306,758 = 306,758 : x
  2. Step 2: Convert to fraction form
    200,051/306,758 = 306,758/x
  3. Step 3: Cross multiply
    200,051x = 306,758 × 306,758
  4. Step 4: Simplify right side
    200,051x = 94,100,470,564
  5. Step 5: Solve for x
    x = 94,100,470,564/200,051
  6. Step 6: Final answer
    x = 470,382.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.