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Finding the Third Proportional to 281,772 and 586,818

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Solution

The third proportional to 281,772 and 586,818 is: 1,222,106.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,772 : 586,818 = 586,818 : x
  2. Step 2: Convert to fraction form
    281,772/586,818 = 586,818/x
  3. Step 3: Cross multiply
    281,772x = 586,818 × 586,818
  4. Step 4: Simplify right side
    281,772x = 344,355,365,124
  5. Step 5: Solve for x
    x = 344,355,365,124/281,772
  6. Step 6: Final answer
    x = 1,222,106.40

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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.