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Finding the Third Proportional to 257,428.13 and 371,379.94

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Solution

The third proportional to 257,428.13 and 371,379.94 is: 535,773.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,428.13 : 371,379.94 = 371,379.94 : x
  2. Step 2: Convert to fraction form
    257,428.13/371,379.94 = 371,379.94/x
  3. Step 3: Cross multiply
    257,428.13x = 371,379.94 × 371,379.94
  4. Step 4: Simplify right side
    257,428.13x = 137,923,057,977.50
  5. Step 5: Solve for x
    x = 137,923,057,977.50/257,428.13
  6. Step 6: Final answer
    x = 535,773.07

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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.