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Finding the Third Proportional to 30,381 and 45,447.50

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Solution

The third proportional to 30,381 and 45,447.50 is: 67,985.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,381 : 45,447.50 = 45,447.50 : x
  2. Step 2: Convert to fraction form
    30,381/45,447.50 = 45,447.50/x
  3. Step 3: Cross multiply
    30,381x = 45,447.50 × 45,447.50
  4. Step 4: Simplify right side
    30,381x = 2,065,475,256.25
  5. Step 5: Solve for x
    x = 2,065,475,256.25/30,381
  6. Step 6: Final answer
    x = 67,985.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.