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Finding the Third Proportional to 285,153.75 and 426,876.75

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Solution

The third proportional to 285,153.75 and 426,876.75 is: 639,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,153.75 : 426,876.75 = 426,876.75 : x
  2. Step 2: Convert to fraction form
    285,153.75/426,876.75 = 426,876.75/x
  3. Step 3: Cross multiply
    285,153.75x = 426,876.75 × 426,876.75
  4. Step 4: Simplify right side
    285,153.75x = 182,223,759,690.56
  5. Step 5: Solve for x
    x = 182,223,759,690.56/285,153.75
  6. Step 6: Final answer
    x = 639,036.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.