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Finding the Third Proportional to 59,512 and 129,707

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Solution

The third proportional to 59,512 and 129,707 is: 282,697.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,512 : 129,707 = 129,707 : x
  2. Step 2: Convert to fraction form
    59,512/129,707 = 129,707/x
  3. Step 3: Cross multiply
    59,512x = 129,707 × 129,707
  4. Step 4: Simplify right side
    59,512x = 16,823,905,849
  5. Step 5: Solve for x
    x = 16,823,905,849/59,512
  6. Step 6: Final answer
    x = 282,697.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.