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Finding the Third Proportional to 69,216.19 and 163,744.88

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Solution

The third proportional to 69,216.19 and 163,744.88 is: 387,371.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,216.19 : 163,744.88 = 163,744.88 : x
  2. Step 2: Convert to fraction form
    69,216.19/163,744.88 = 163,744.88/x
  3. Step 3: Cross multiply
    69,216.19x = 163,744.88 × 163,744.88
  4. Step 4: Simplify right side
    69,216.19x = 26,812,384,088.77
  5. Step 5: Solve for x
    x = 26,812,384,088.77/69,216.19
  6. Step 6: Final answer
    x = 387,371.58

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.