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Finding the Third Proportional to 121,852 and 163,000.50

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Solution

The third proportional to 121,852 and 163,000.50 is: 218,044.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,852 : 163,000.50 = 163,000.50 : x
  2. Step 2: Convert to fraction form
    121,852/163,000.50 = 163,000.50/x
  3. Step 3: Cross multiply
    121,852x = 163,000.50 × 163,000.50
  4. Step 4: Simplify right side
    121,852x = 26,569,163,000.25
  5. Step 5: Solve for x
    x = 26,569,163,000.25/121,852
  6. Step 6: Final answer
    x = 218,044.54

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.