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Finding the Third Proportional to 30,159 and 51,451.50

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Solution

The third proportional to 30,159 and 51,451.50 is: 87,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,159 : 51,451.50 = 51,451.50 : x
  2. Step 2: Convert to fraction form
    30,159/51,451.50 = 51,451.50/x
  3. Step 3: Cross multiply
    30,159x = 51,451.50 × 51,451.50
  4. Step 4: Simplify right side
    30,159x = 2,647,256,852.25
  5. Step 5: Solve for x
    x = 2,647,256,852.25/30,159
  6. Step 6: Final answer
    x = 87,776.68

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Why These Related Problems?

These problems maintain the same ratio (1.71) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.