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Finding the Third Proportional to 384,172 and 555,013

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Solution

The third proportional to 384,172 and 555,013 is: 801,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,172 : 555,013 = 555,013 : x
  2. Step 2: Convert to fraction form
    384,172/555,013 = 555,013/x
  3. Step 3: Cross multiply
    384,172x = 555,013 × 555,013
  4. Step 4: Simplify right side
    384,172x = 308,039,430,169
  5. Step 5: Solve for x
    x = 308,039,430,169/384,172
  6. Step 6: Final answer
    x = 801,826.86

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.