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Finding the Third Proportional to 380,207.67 and 531,554.91

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Solution

The third proportional to 380,207.67 and 531,554.91 is: 743,148.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,207.67 : 531,554.91 = 531,554.91 : x
  2. Step 2: Convert to fraction form
    380,207.67/531,554.91 = 531,554.91/x
  3. Step 3: Cross multiply
    380,207.67x = 531,554.91 × 531,554.91
  4. Step 4: Simplify right side
    380,207.67x = 282,550,618,358.45
  5. Step 5: Solve for x
    x = 282,550,618,358.45/380,207.67
  6. Step 6: Final answer
    x = 743,148.12

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.