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Finding the Third Proportional to 120,056.50 and 258,734

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Solution

The third proportional to 120,056.50 and 258,734 is: 557,598.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,056.50 : 258,734 = 258,734 : x
  2. Step 2: Convert to fraction form
    120,056.50/258,734 = 258,734/x
  3. Step 3: Cross multiply
    120,056.50x = 258,734 × 258,734
  4. Step 4: Simplify right side
    120,056.50x = 66,943,282,756
  5. Step 5: Solve for x
    x = 66,943,282,756/120,056.50
  6. Step 6: Final answer
    x = 557,598.15

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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.