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Finding the Third Proportional to 281,630 and 586,558

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Solution

The third proportional to 281,630 and 586,558 is: 1,221,639.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,630 : 586,558 = 586,558 : x
  2. Step 2: Convert to fraction form
    281,630/586,558 = 586,558/x
  3. Step 3: Cross multiply
    281,630x = 586,558 × 586,558
  4. Step 4: Simplify right side
    281,630x = 344,050,287,364
  5. Step 5: Solve for x
    x = 344,050,287,364/281,630
  6. Step 6: Final answer
    x = 1,221,639.34

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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.