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Finding the Third Proportional to 262,176.75 and 289,878.75

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Solution

The third proportional to 262,176.75 and 289,878.75 is: 320,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,176.75 : 289,878.75 = 289,878.75 : x
  2. Step 2: Convert to fraction form
    262,176.75/289,878.75 = 289,878.75/x
  3. Step 3: Cross multiply
    262,176.75x = 289,878.75 × 289,878.75
  4. Step 4: Simplify right side
    262,176.75x = 84,029,689,701.56
  5. Step 5: Solve for x
    x = 84,029,689,701.56/262,176.75
  6. Step 6: Final answer
    x = 320,507.79

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.