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Finding the Third Proportional to 45,405 and 75,037.50

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Solution

The third proportional to 45,405 and 75,037.50 is: 124,008.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,405 : 75,037.50 = 75,037.50 : x
  2. Step 2: Convert to fraction form
    45,405/75,037.50 = 75,037.50/x
  3. Step 3: Cross multiply
    45,405x = 75,037.50 × 75,037.50
  4. Step 4: Simplify right side
    45,405x = 5,630,626,406.25
  5. Step 5: Solve for x
    x = 5,630,626,406.25/45,405
  6. Step 6: Final answer
    x = 124,008.95

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.