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Finding the Third Proportional to 75,516 and 105,855.75

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Solution

The third proportional to 75,516 and 105,855.75 is: 148,384.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,516 : 105,855.75 = 105,855.75 : x
  2. Step 2: Convert to fraction form
    75,516/105,855.75 = 105,855.75/x
  3. Step 3: Cross multiply
    75,516x = 105,855.75 × 105,855.75
  4. Step 4: Simplify right side
    75,516x = 11,205,439,808.06
  5. Step 5: Solve for x
    x = 11,205,439,808.06/75,516
  6. Step 6: Final answer
    x = 148,384.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.