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Finding the Third Proportional to 251,692 and 559,328

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Solution

The third proportional to 251,692 and 559,328 is: 1,242,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,692 : 559,328 = 559,328 : x
  2. Step 2: Convert to fraction form
    251,692/559,328 = 559,328/x
  3. Step 3: Cross multiply
    251,692x = 559,328 × 559,328
  4. Step 4: Simplify right side
    251,692x = 312,847,811,584
  5. Step 5: Solve for x
    x = 312,847,811,584/251,692
  6. Step 6: Final answer
    x = 1,242,978.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.