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Finding the Third Proportional to 215,826.75 and 319,554

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Solution

The third proportional to 215,826.75 and 319,554 is: 473,133.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,826.75 : 319,554 = 319,554 : x
  2. Step 2: Convert to fraction form
    215,826.75/319,554 = 319,554/x
  3. Step 3: Cross multiply
    215,826.75x = 319,554 × 319,554
  4. Step 4: Simplify right side
    215,826.75x = 102,114,758,916
  5. Step 5: Solve for x
    x = 102,114,758,916/215,826.75
  6. Step 6: Final answer
    x = 473,133.01

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.