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Finding the Third Proportional to 125,955 and 208,129.50

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Solution

The third proportional to 125,955 and 208,129.50 is: 343,915.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,955 : 208,129.50 = 208,129.50 : x
  2. Step 2: Convert to fraction form
    125,955/208,129.50 = 208,129.50/x
  3. Step 3: Cross multiply
    125,955x = 208,129.50 × 208,129.50
  4. Step 4: Simplify right side
    125,955x = 43,317,888,770.25
  5. Step 5: Solve for x
    x = 43,317,888,770.25/125,955
  6. Step 6: Final answer
    x = 343,915.60

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.