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Finding the Third Proportional to 50,415 and 74,470.50

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Solution

The third proportional to 50,415 and 74,470.50 is: 110,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,415 : 74,470.50 = 74,470.50 : x
  2. Step 2: Convert to fraction form
    50,415/74,470.50 = 74,470.50/x
  3. Step 3: Cross multiply
    50,415x = 74,470.50 × 74,470.50
  4. Step 4: Simplify right side
    50,415x = 5,545,855,370.25
  5. Step 5: Solve for x
    x = 5,545,855,370.25/50,415
  6. Step 6: Final answer
    x = 110,004.07

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.