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Finding the Third Proportional to 263,200 and 393,045.25

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Solution

The third proportional to 263,200 and 393,045.25 is: 586,947.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,200 : 393,045.25 = 393,045.25 : x
  2. Step 2: Convert to fraction form
    263,200/393,045.25 = 393,045.25/x
  3. Step 3: Cross multiply
    263,200x = 393,045.25 × 393,045.25
  4. Step 4: Simplify right side
    263,200x = 154,484,568,547.56
  5. Step 5: Solve for x
    x = 154,484,568,547.56/263,200
  6. Step 6: Final answer
    x = 586,947.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.