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Finding the Third Proportional to 75,690.50 and 178,423

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Solution

The third proportional to 75,690.50 and 178,423 is: 420,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,690.50 : 178,423 = 178,423 : x
  2. Step 2: Convert to fraction form
    75,690.50/178,423 = 178,423/x
  3. Step 3: Cross multiply
    75,690.50x = 178,423 × 178,423
  4. Step 4: Simplify right side
    75,690.50x = 31,834,766,929
  5. Step 5: Solve for x
    x = 31,834,766,929/75,690.50
  6. Step 6: Final answer
    x = 420,591.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.