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Finding the Third Proportional to 272,367 and 577,503

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Solution

The third proportional to 272,367 and 577,503 is: 1,224,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,367 : 577,503 = 577,503 : x
  2. Step 2: Convert to fraction form
    272,367/577,503 = 577,503/x
  3. Step 3: Cross multiply
    272,367x = 577,503 × 577,503
  4. Step 4: Simplify right side
    272,367x = 333,509,715,009
  5. Step 5: Solve for x
    x = 333,509,715,009/272,367
  6. Step 6: Final answer
    x = 1,224,486.50

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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.