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Finding the Third Proportional to 257,655.94 and 371,106.56

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Solution

The third proportional to 257,655.94 and 371,106.56 is: 534,511.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,655.94 : 371,106.56 = 371,106.56 : x
  2. Step 2: Convert to fraction form
    257,655.94/371,106.56 = 371,106.56/x
  3. Step 3: Cross multiply
    257,655.94x = 371,106.56 × 371,106.56
  4. Step 4: Simplify right side
    257,655.94x = 137,720,080,730.57
  5. Step 5: Solve for x
    x = 137,720,080,730.57/257,655.94
  6. Step 6: Final answer
    x = 534,511.57

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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.