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Finding the Third Proportional to 170,145 and 261,166.50

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Solution

The third proportional to 170,145 and 261,166.50 is: 400,881.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,145 : 261,166.50 = 261,166.50 : x
  2. Step 2: Convert to fraction form
    170,145/261,166.50 = 261,166.50/x
  3. Step 3: Cross multiply
    170,145x = 261,166.50 × 261,166.50
  4. Step 4: Simplify right side
    170,145x = 68,207,940,722.25
  5. Step 5: Solve for x
    x = 68,207,940,722.25/170,145
  6. Step 6: Final answer
    x = 400,881.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.