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Finding the Third Proportional to 30,645 and 48,159

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Solution

The third proportional to 30,645 and 48,159 is: 75,682.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 48,159 = 48,159 : x
  2. Step 2: Convert to fraction form
    30,645/48,159 = 48,159/x
  3. Step 3: Cross multiply
    30,645x = 48,159 × 48,159
  4. Step 4: Simplify right side
    30,645x = 2,319,289,281
  5. Step 5: Solve for x
    x = 2,319,289,281/30,645
  6. Step 6: Final answer
    x = 75,682.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.