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Finding the Third Proportional to 201,044 and 418,426

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Solution

The third proportional to 201,044 and 418,426 is: 870,855.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,044 : 418,426 = 418,426 : x
  2. Step 2: Convert to fraction form
    201,044/418,426 = 418,426/x
  3. Step 3: Cross multiply
    201,044x = 418,426 × 418,426
  4. Step 4: Simplify right side
    201,044x = 175,080,317,476
  5. Step 5: Solve for x
    x = 175,080,317,476/201,044
  6. Step 6: Final answer
    x = 870,855.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.