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Finding the Third Proportional to 120,063 and 258,746

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Solution

The third proportional to 120,063 and 258,746 is: 557,619.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,063 : 258,746 = 258,746 : x
  2. Step 2: Convert to fraction form
    120,063/258,746 = 258,746/x
  3. Step 3: Cross multiply
    120,063x = 258,746 × 258,746
  4. Step 4: Simplify right side
    120,063x = 66,949,492,516
  5. Step 5: Solve for x
    x = 66,949,492,516/120,063
  6. Step 6: Final answer
    x = 557,619.69

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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.