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Finding the Third Proportional to 253,518.75 and 379,488.38

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Solution

The third proportional to 253,518.75 and 379,488.38 is: 568,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,518.75 : 379,488.38 = 379,488.38 : x
  2. Step 2: Convert to fraction form
    253,518.75/379,488.38 = 379,488.38/x
  3. Step 3: Cross multiply
    253,518.75x = 379,488.38 × 379,488.38
  4. Step 4: Simplify right side
    253,518.75x = 144,011,426,760.14
  5. Step 5: Solve for x
    x = 144,011,426,760.14/253,518.75
  6. Step 6: Final answer
    x = 568,050.40

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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.