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Finding the Third Proportional to 163,929.50 and 221,466.50

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Solution

The third proportional to 163,929.50 and 221,466.50 is: 299,198.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,929.50 : 221,466.50 = 221,466.50 : x
  2. Step 2: Convert to fraction form
    163,929.50/221,466.50 = 221,466.50/x
  3. Step 3: Cross multiply
    163,929.50x = 221,466.50 × 221,466.50
  4. Step 4: Simplify right side
    163,929.50x = 49,047,410,622.25
  5. Step 5: Solve for x
    x = 49,047,410,622.25/163,929.50
  6. Step 6: Final answer
    x = 299,198.20

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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.