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Finding the Third Proportional to 253,671.75 and 528,330.75

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Solution

The third proportional to 253,671.75 and 528,330.75 is: 1,100,372.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,671.75 : 528,330.75 = 528,330.75 : x
  2. Step 2: Convert to fraction form
    253,671.75/528,330.75 = 528,330.75/x
  3. Step 3: Cross multiply
    253,671.75x = 528,330.75 × 528,330.75
  4. Step 4: Simplify right side
    253,671.75x = 279,133,381,395.56
  5. Step 5: Solve for x
    x = 279,133,381,395.56/253,671.75
  6. Step 6: Final answer
    x = 1,100,372.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.