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Finding the Third Proportional to 154,575.75 and 245,889.25

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Solution

The third proportional to 154,575.75 and 245,889.25 is: 391,144.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,575.75 : 245,889.25 = 245,889.25 : x
  2. Step 2: Convert to fraction form
    154,575.75/245,889.25 = 245,889.25/x
  3. Step 3: Cross multiply
    154,575.75x = 245,889.25 × 245,889.25
  4. Step 4: Simplify right side
    154,575.75x = 60,461,523,265.56
  5. Step 5: Solve for x
    x = 60,461,523,265.56/154,575.75
  6. Step 6: Final answer
    x = 391,144.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.