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Finding the Third Proportional to 129,693 and 281,526

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Solution

The third proportional to 129,693 and 281,526 is: 611,111.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,693 : 281,526 = 281,526 : x
  2. Step 2: Convert to fraction form
    129,693/281,526 = 281,526/x
  3. Step 3: Cross multiply
    129,693x = 281,526 × 281,526
  4. Step 4: Simplify right side
    129,693x = 79,256,888,676
  5. Step 5: Solve for x
    x = 79,256,888,676/129,693
  6. Step 6: Final answer
    x = 611,111.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.