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Finding the Third Proportional to 120,163 and 259,324.50

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Solution

The third proportional to 120,163 and 259,324.50 is: 559,649.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,163 : 259,324.50 = 259,324.50 : x
  2. Step 2: Convert to fraction form
    120,163/259,324.50 = 259,324.50/x
  3. Step 3: Cross multiply
    120,163x = 259,324.50 × 259,324.50
  4. Step 4: Simplify right side
    120,163x = 67,249,196,300.25
  5. Step 5: Solve for x
    x = 67,249,196,300.25/120,163
  6. Step 6: Final answer
    x = 559,649.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.