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Finding the Third Proportional to 3,545,167.50 and 5,162,744.25

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Solution

The third proportional to 3,545,167.50 and 5,162,744.25 is: 7,518,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,545,167.50 : 5,162,744.25 = 5,162,744.25 : x
  2. Step 2: Convert to fraction form
    3,545,167.50/5,162,744.25 = 5,162,744.25/x
  3. Step 3: Cross multiply
    3,545,167.50x = 5,162,744.25 × 5,162,744.25
  4. Step 4: Simplify right side
    3,545,167.50x = 26,653,928,190,908.06
  5. Step 5: Solve for x
    x = 26,653,928,190,908.06/3,545,167.50
  6. Step 6: Final answer
    x = 7,518,383.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.