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Finding the Third Proportional to 281,700 and 618,696

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Solution

The third proportional to 281,700 and 618,696 is: 1,358,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,700 : 618,696 = 618,696 : x
  2. Step 2: Convert to fraction form
    281,700/618,696 = 618,696/x
  3. Step 3: Cross multiply
    281,700x = 618,696 × 618,696
  4. Step 4: Simplify right side
    281,700x = 382,784,740,416
  5. Step 5: Solve for x
    x = 382,784,740,416/281,700
  6. Step 6: Final answer
    x = 1,358,838.27

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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.