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Finding the Third Proportional to 272,890.13 and 429,383.25

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Solution

The third proportional to 272,890.13 and 429,383.25 is: 675,619.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,890.13 : 429,383.25 = 429,383.25 : x
  2. Step 2: Convert to fraction form
    272,890.13/429,383.25 = 429,383.25/x
  3. Step 3: Cross multiply
    272,890.13x = 429,383.25 × 429,383.25
  4. Step 4: Simplify right side
    272,890.13x = 184,369,975,380.56
  5. Step 5: Solve for x
    x = 184,369,975,380.56/272,890.13
  6. Step 6: Final answer
    x = 675,619.81

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.