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Finding the Third Proportional to 115,767 and 245,745

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Solution

The third proportional to 115,767 and 245,745 is: 521,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,767 : 245,745 = 245,745 : x
  2. Step 2: Convert to fraction form
    115,767/245,745 = 245,745/x
  3. Step 3: Cross multiply
    115,767x = 245,745 × 245,745
  4. Step 4: Simplify right side
    115,767x = 60,390,605,025
  5. Step 5: Solve for x
    x = 60,390,605,025/115,767
  6. Step 6: Final answer
    x = 521,656.47

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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.