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Finding the Third Proportional to 131,796 and 289,827

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Solution

The third proportional to 131,796 and 289,827 is: 637,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,796 : 289,827 = 289,827 : x
  2. Step 2: Convert to fraction form
    131,796/289,827 = 289,827/x
  3. Step 3: Cross multiply
    131,796x = 289,827 × 289,827
  4. Step 4: Simplify right side
    131,796x = 83,999,689,929
  5. Step 5: Solve for x
    x = 83,999,689,929/131,796
  6. Step 6: Final answer
    x = 637,346.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.