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Finding the Third Proportional to 120,860.50 and 256,129

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Solution

The third proportional to 120,860.50 and 256,129 is: 542,791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,860.50 : 256,129 = 256,129 : x
  2. Step 2: Convert to fraction form
    120,860.50/256,129 = 256,129/x
  3. Step 3: Cross multiply
    120,860.50x = 256,129 × 256,129
  4. Step 4: Simplify right side
    120,860.50x = 65,602,064,641
  5. Step 5: Solve for x
    x = 65,602,064,641/120,860.50
  6. Step 6: Final answer
    x = 542,791.60

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.