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Finding the Third Proportional to 30,720.94 and 48,847.78

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Solution

The third proportional to 30,720.94 and 48,847.78 is: 77,670.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,720.94 : 48,847.78 = 48,847.78 : x
  2. Step 2: Convert to fraction form
    30,720.94/48,847.78 = 48,847.78/x
  3. Step 3: Cross multiply
    30,720.94x = 48,847.78 × 48,847.78
  4. Step 4: Simplify right side
    30,720.94x = 2,386,105,733.05
  5. Step 5: Solve for x
    x = 2,386,105,733.05/30,720.94
  6. Step 6: Final answer
    x = 77,670.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.