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Finding the Third Proportional to 120,746 and 257,083

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Solution

The third proportional to 120,746 and 257,083 is: 547,361.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,746 : 257,083 = 257,083 : x
  2. Step 2: Convert to fraction form
    120,746/257,083 = 257,083/x
  3. Step 3: Cross multiply
    120,746x = 257,083 × 257,083
  4. Step 4: Simplify right side
    120,746x = 66,091,668,889
  5. Step 5: Solve for x
    x = 66,091,668,889/120,746
  6. Step 6: Final answer
    x = 547,361.15

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.