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Finding the Third Proportional to 155,800.50 and 254,381.25

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Solution

The third proportional to 155,800.50 and 254,381.25 is: 415,337.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,800.50 : 254,381.25 = 254,381.25 : x
  2. Step 2: Convert to fraction form
    155,800.50/254,381.25 = 254,381.25/x
  3. Step 3: Cross multiply
    155,800.50x = 254,381.25 × 254,381.25
  4. Step 4: Simplify right side
    155,800.50x = 64,709,820,351.56
  5. Step 5: Solve for x
    x = 64,709,820,351.56/155,800.50
  6. Step 6: Final answer
    x = 415,337.69

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.