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Finding the Third Proportional to 163,840.50 and 221,358

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Solution

The third proportional to 163,840.50 and 221,358 is: 299,067.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,840.50 : 221,358 = 221,358 : x
  2. Step 2: Convert to fraction form
    163,840.50/221,358 = 221,358/x
  3. Step 3: Cross multiply
    163,840.50x = 221,358 × 221,358
  4. Step 4: Simplify right side
    163,840.50x = 48,999,364,164
  5. Step 5: Solve for x
    x = 48,999,364,164/163,840.50
  6. Step 6: Final answer
    x = 299,067.47

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.