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Finding the Third Proportional to 181,683.84 and 278,881.31

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Solution

The third proportional to 181,683.84 and 278,881.31 is: 428,077.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,683.84 : 278,881.31 = 278,881.31 : x
  2. Step 2: Convert to fraction form
    181,683.84/278,881.31 = 278,881.31/x
  3. Step 3: Cross multiply
    181,683.84x = 278,881.31 × 278,881.31
  4. Step 4: Simplify right side
    181,683.84x = 77,774,786,461.72
  5. Step 5: Solve for x
    x = 77,774,786,461.72/181,683.84
  6. Step 6: Final answer
    x = 428,077.61

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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.