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Finding the Third Proportional to 251,381 and 528,615

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Solution

The third proportional to 251,381 and 528,615 is: 1,111,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,381 : 528,615 = 528,615 : x
  2. Step 2: Convert to fraction form
    251,381/528,615 = 528,615/x
  3. Step 3: Cross multiply
    251,381x = 528,615 × 528,615
  4. Step 4: Simplify right side
    251,381x = 279,433,818,225
  5. Step 5: Solve for x
    x = 279,433,818,225/251,381
  6. Step 6: Final answer
    x = 1,111,594.82

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.