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Finding the Third Proportional to 74,806.50 and 163,689

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Solution

The third proportional to 74,806.50 and 163,689 is: 358,178.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,806.50 : 163,689 = 163,689 : x
  2. Step 2: Convert to fraction form
    74,806.50/163,689 = 163,689/x
  3. Step 3: Cross multiply
    74,806.50x = 163,689 × 163,689
  4. Step 4: Simplify right side
    74,806.50x = 26,794,088,721
  5. Step 5: Solve for x
    x = 26,794,088,721/74,806.50
  6. Step 6: Final answer
    x = 358,178.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.