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Finding the Third Proportional to 125,130.50 and 295,256.88

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Solution

The third proportional to 125,130.50 and 295,256.88 is: 696,685.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,130.50 : 295,256.88 = 295,256.88 : x
  2. Step 2: Convert to fraction form
    125,130.50/295,256.88 = 295,256.88/x
  3. Step 3: Cross multiply
    125,130.50x = 295,256.88 × 295,256.88
  4. Step 4: Simplify right side
    125,130.50x = 87,176,622,234.77
  5. Step 5: Solve for x
    x = 87,176,622,234.77/125,130.50
  6. Step 6: Final answer
    x = 696,685.64

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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.