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Finding the Third Proportional to 83,886 and 130,905

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Solution

The third proportional to 83,886 and 130,905 is: 204,278.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,886 : 130,905 = 130,905 : x
  2. Step 2: Convert to fraction form
    83,886/130,905 = 130,905/x
  3. Step 3: Cross multiply
    83,886x = 130,905 × 130,905
  4. Step 4: Simplify right side
    83,886x = 17,136,119,025
  5. Step 5: Solve for x
    x = 17,136,119,025/83,886
  6. Step 6: Final answer
    x = 204,278.65

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.