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Finding the Third Proportional to 272,844 and 643,172

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Solution

The third proportional to 272,844 and 643,172 is: 1,516,141.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,844 : 643,172 = 643,172 : x
  2. Step 2: Convert to fraction form
    272,844/643,172 = 643,172/x
  3. Step 3: Cross multiply
    272,844x = 643,172 × 643,172
  4. Step 4: Simplify right side
    272,844x = 413,670,221,584
  5. Step 5: Solve for x
    x = 413,670,221,584/272,844
  6. Step 6: Final answer
    x = 1,516,141.90

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.