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Finding the Third Proportional to 170,211.38 and 256,051.76

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Solution

The third proportional to 170,211.38 and 256,051.76 is: 385,182.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,211.38 : 256,051.76 = 256,051.76 : x
  2. Step 2: Convert to fraction form
    170,211.38/256,051.76 = 256,051.76/x
  3. Step 3: Cross multiply
    170,211.38x = 256,051.76 × 256,051.76
  4. Step 4: Simplify right side
    170,211.38x = 65,562,502,678.87
  5. Step 5: Solve for x
    x = 65,562,502,678.87/170,211.38
  6. Step 6: Final answer
    x = 385,182.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.