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Finding the Third Proportional to 274,157.16 and 408,953.81

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Solution

The third proportional to 274,157.16 and 408,953.81 is: 610,026.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,157.16 : 408,953.81 = 408,953.81 : x
  2. Step 2: Convert to fraction form
    274,157.16/408,953.81 = 408,953.81/x
  3. Step 3: Cross multiply
    274,157.16x = 408,953.81 × 408,953.81
  4. Step 4: Simplify right side
    274,157.16x = 167,243,220,758.29
  5. Step 5: Solve for x
    x = 167,243,220,758.29/274,157.16
  6. Step 6: Final answer
    x = 610,026.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.