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Finding the Third Proportional to 281,696 and 618,688

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Solution

The third proportional to 281,696 and 618,688 is: 1,358,822.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,696 : 618,688 = 618,688 : x
  2. Step 2: Convert to fraction form
    281,696/618,688 = 618,688/x
  3. Step 3: Cross multiply
    281,696x = 618,688 × 618,688
  4. Step 4: Simplify right side
    281,696x = 382,774,841,344
  5. Step 5: Solve for x
    x = 382,774,841,344/281,696
  6. Step 6: Final answer
    x = 1,358,822.42

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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.