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Finding the Third Proportional to 72,621 and 120,011

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Solution

The third proportional to 72,621 and 120,011 is: 198,326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,621 : 120,011 = 120,011 : x
  2. Step 2: Convert to fraction form
    72,621/120,011 = 120,011/x
  3. Step 3: Cross multiply
    72,621x = 120,011 × 120,011
  4. Step 4: Simplify right side
    72,621x = 14,402,640,121
  5. Step 5: Solve for x
    x = 14,402,640,121/72,621
  6. Step 6: Final answer
    x = 198,326.11

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.