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Finding the Third Proportional to 200,745 and 445,776

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Solution

The third proportional to 200,745 and 445,776 is: 989,893.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,745 : 445,776 = 445,776 : x
  2. Step 2: Convert to fraction form
    200,745/445,776 = 445,776/x
  3. Step 3: Cross multiply
    200,745x = 445,776 × 445,776
  4. Step 4: Simplify right side
    200,745x = 198,716,242,176
  5. Step 5: Solve for x
    x = 198,716,242,176/200,745
  6. Step 6: Final answer
    x = 989,893.86

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.