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Finding the Third Proportional to 118,415 and 253,678

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Solution

The third proportional to 118,415 and 253,678 is: 543,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,415 : 253,678 = 253,678 : x
  2. Step 2: Convert to fraction form
    118,415/253,678 = 253,678/x
  3. Step 3: Cross multiply
    118,415x = 253,678 × 253,678
  4. Step 4: Simplify right side
    118,415x = 64,352,527,684
  5. Step 5: Solve for x
    x = 64,352,527,684/118,415
  6. Step 6: Final answer
    x = 543,449.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.