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Finding the Third Proportional to 72,902 and 119,043

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Solution

The third proportional to 72,902 and 119,043 is: 194,387.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902 : 119,043 = 119,043 : x
  2. Step 2: Convert to fraction form
    72,902/119,043 = 119,043/x
  3. Step 3: Cross multiply
    72,902x = 119,043 × 119,043
  4. Step 4: Simplify right side
    72,902x = 14,171,235,849
  5. Step 5: Solve for x
    x = 14,171,235,849/72,902
  6. Step 6: Final answer
    x = 194,387.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.