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Finding the Third Proportional to 56,619 and 125,509.50

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Solution

The third proportional to 56,619 and 125,509.50 is: 278,221.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,619 : 125,509.50 = 125,509.50 : x
  2. Step 2: Convert to fraction form
    56,619/125,509.50 = 125,509.50/x
  3. Step 3: Cross multiply
    56,619x = 125,509.50 × 125,509.50
  4. Step 4: Simplify right side
    56,619x = 15,752,634,590.25
  5. Step 5: Solve for x
    x = 15,752,634,590.25/56,619
  6. Step 6: Final answer
    x = 278,221.70

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.