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Finding the Third Proportional to 181,683.75 and 278,881.50

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Solution

The third proportional to 181,683.75 and 278,881.50 is: 428,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,683.75 : 278,881.50 = 278,881.50 : x
  2. Step 2: Convert to fraction form
    181,683.75/278,881.50 = 278,881.50/x
  3. Step 3: Cross multiply
    181,683.75x = 278,881.50 × 278,881.50
  4. Step 4: Simplify right side
    181,683.75x = 77,774,891,042.25
  5. Step 5: Solve for x
    x = 77,774,891,042.25/181,683.75
  6. Step 6: Final answer
    x = 428,078.41

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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.