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Finding the Third Proportional to 144,068 and 218,091

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Solution

The third proportional to 144,068 and 218,091 is: 330,147.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,068 : 218,091 = 218,091 : x
  2. Step 2: Convert to fraction form
    144,068/218,091 = 218,091/x
  3. Step 3: Cross multiply
    144,068x = 218,091 × 218,091
  4. Step 4: Simplify right side
    144,068x = 47,563,684,281
  5. Step 5: Solve for x
    x = 47,563,684,281/144,068
  6. Step 6: Final answer
    x = 330,147.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.