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Finding the Third Proportional to 257,040 and 545,184

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Solution

The third proportional to 257,040 and 545,184 is: 1,156,339.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,040 : 545,184 = 545,184 : x
  2. Step 2: Convert to fraction form
    257,040/545,184 = 545,184/x
  3. Step 3: Cross multiply
    257,040x = 545,184 × 545,184
  4. Step 4: Simplify right side
    257,040x = 297,225,593,856
  5. Step 5: Solve for x
    x = 297,225,593,856/257,040
  6. Step 6: Final answer
    x = 1,156,339.85

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.