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Finding the Third Proportional to 281,698 and 618,692

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Solution

The third proportional to 281,698 and 618,692 is: 1,358,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,698 : 618,692 = 618,692 : x
  2. Step 2: Convert to fraction form
    281,698/618,692 = 618,692/x
  3. Step 3: Cross multiply
    281,698x = 618,692 × 618,692
  4. Step 4: Simplify right side
    281,698x = 382,779,790,864
  5. Step 5: Solve for x
    x = 382,779,790,864/281,698
  6. Step 6: Final answer
    x = 1,358,830.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.