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Finding the Third Proportional to 245,293.50 and 520,305

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Solution

The third proportional to 245,293.50 and 520,305 is: 1,103,646.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,293.50 : 520,305 = 520,305 : x
  2. Step 2: Convert to fraction form
    245,293.50/520,305 = 520,305/x
  3. Step 3: Cross multiply
    245,293.50x = 520,305 × 520,305
  4. Step 4: Simplify right side
    245,293.50x = 270,717,293,025
  5. Step 5: Solve for x
    x = 270,717,293,025/245,293.50
  6. Step 6: Final answer
    x = 1,103,646.42

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.