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Finding the Third Proportional to 179,618 and 280,947

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Solution

The third proportional to 179,618 and 280,947 is: 439,439.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,618 : 280,947 = 280,947 : x
  2. Step 2: Convert to fraction form
    179,618/280,947 = 280,947/x
  3. Step 3: Cross multiply
    179,618x = 280,947 × 280,947
  4. Step 4: Simplify right side
    179,618x = 78,931,216,809
  5. Step 5: Solve for x
    x = 78,931,216,809/179,618
  6. Step 6: Final answer
    x = 439,439.35

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.