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Finding the Third Proportional to 257,360 and 371,273.25

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Solution

The third proportional to 257,360 and 371,273.25 is: 535,607.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,360 : 371,273.25 = 371,273.25 : x
  2. Step 2: Convert to fraction form
    257,360/371,273.25 = 371,273.25/x
  3. Step 3: Cross multiply
    257,360x = 371,273.25 × 371,273.25
  4. Step 4: Simplify right side
    257,360x = 137,843,826,165.56
  5. Step 5: Solve for x
    x = 137,843,826,165.56/257,360
  6. Step 6: Final answer
    x = 535,607.03

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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.