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Finding the Third Proportional to 74,919 and 170,623.50

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Solution

The third proportional to 74,919 and 170,623.50 is: 388,584.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,919 : 170,623.50 = 170,623.50 : x
  2. Step 2: Convert to fraction form
    74,919/170,623.50 = 170,623.50/x
  3. Step 3: Cross multiply
    74,919x = 170,623.50 × 170,623.50
  4. Step 4: Simplify right side
    74,919x = 29,112,378,752.25
  5. Step 5: Solve for x
    x = 29,112,378,752.25/74,919
  6. Step 6: Final answer
    x = 388,584.72

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.