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Finding the Third Proportional to 119,072 and 202,800

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Solution

The third proportional to 119,072 and 202,800 is: 345,403.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,072 : 202,800 = 202,800 : x
  2. Step 2: Convert to fraction form
    119,072/202,800 = 202,800/x
  3. Step 3: Cross multiply
    119,072x = 202,800 × 202,800
  4. Step 4: Simplify right side
    119,072x = 41,127,840,000
  5. Step 5: Solve for x
    x = 41,127,840,000/119,072
  6. Step 6: Final answer
    x = 345,403.12

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.