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Finding the Third Proportional to 125,200.50 and 295,254.50

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Solution

The third proportional to 125,200.50 and 295,254.50 is: 696,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,200.50 : 295,254.50 = 295,254.50 : x
  2. Step 2: Convert to fraction form
    125,200.50/295,254.50 = 295,254.50/x
  3. Step 3: Cross multiply
    125,200.50x = 295,254.50 × 295,254.50
  4. Step 4: Simplify right side
    125,200.50x = 87,175,219,770.25
  5. Step 5: Solve for x
    x = 87,175,219,770.25/125,200.50
  6. Step 6: Final answer
    x = 696,284.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.