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Finding the Third Proportional to 30,419 and 47,080.50

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Solution

The third proportional to 30,419 and 47,080.50 is: 72,868.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,419 : 47,080.50 = 47,080.50 : x
  2. Step 2: Convert to fraction form
    30,419/47,080.50 = 47,080.50/x
  3. Step 3: Cross multiply
    30,419x = 47,080.50 × 47,080.50
  4. Step 4: Simplify right side
    30,419x = 2,216,573,480.25
  5. Step 5: Solve for x
    x = 2,216,573,480.25/30,419
  6. Step 6: Final answer
    x = 72,868.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.