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Finding the Third Proportional to 286,017 and 436,722

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Solution

The third proportional to 286,017 and 436,722 is: 666,834.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,017 : 436,722 = 436,722 : x
  2. Step 2: Convert to fraction form
    286,017/436,722 = 436,722/x
  3. Step 3: Cross multiply
    286,017x = 436,722 × 436,722
  4. Step 4: Simplify right side
    286,017x = 190,726,105,284
  5. Step 5: Solve for x
    x = 190,726,105,284/286,017
  6. Step 6: Final answer
    x = 666,834.86

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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.