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Finding the Third Proportional to 78,934.50 and 163,485

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Solution

The third proportional to 78,934.50 and 163,485 is: 338,601.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,934.50 : 163,485 = 163,485 : x
  2. Step 2: Convert to fraction form
    78,934.50/163,485 = 163,485/x
  3. Step 3: Cross multiply
    78,934.50x = 163,485 × 163,485
  4. Step 4: Simplify right side
    78,934.50x = 26,727,345,225
  5. Step 5: Solve for x
    x = 26,727,345,225/78,934.50
  6. Step 6: Final answer
    x = 338,601.56

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.