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Finding the Third Proportional to 120,068 and 258,754

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Solution

The third proportional to 120,068 and 258,754 is: 557,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,068 : 258,754 = 258,754 : x
  2. Step 2: Convert to fraction form
    120,068/258,754 = 258,754/x
  3. Step 3: Cross multiply
    120,068x = 258,754 × 258,754
  4. Step 4: Simplify right side
    120,068x = 66,953,632,516
  5. Step 5: Solve for x
    x = 66,953,632,516/120,068
  6. Step 6: Final answer
    x = 557,630.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.