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Finding the Third Proportional to 476,111 and 991,678

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Solution

The third proportional to 476,111 and 991,678 is: 2,065,537.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,111 : 991,678 = 991,678 : x
  2. Step 2: Convert to fraction form
    476,111/991,678 = 991,678/x
  3. Step 3: Cross multiply
    476,111x = 991,678 × 991,678
  4. Step 4: Simplify right side
    476,111x = 983,425,255,684
  5. Step 5: Solve for x
    x = 983,425,255,684/476,111
  6. Step 6: Final answer
    x = 2,065,537.78

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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.