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Finding the Third Proportional to 178,282.75 and 420,436.75

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Solution

The third proportional to 178,282.75 and 420,436.75 is: 991,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,282.75 : 420,436.75 = 420,436.75 : x
  2. Step 2: Convert to fraction form
    178,282.75/420,436.75 = 420,436.75/x
  3. Step 3: Cross multiply
    178,282.75x = 420,436.75 × 420,436.75
  4. Step 4: Simplify right side
    178,282.75x = 176,767,060,750.56
  5. Step 5: Solve for x
    x = 176,767,060,750.56/178,282.75
  6. Step 6: Final answer
    x = 991,498.40

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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.