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Finding the Third Proportional to 386,799.75 and 525,306.38

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Solution

The third proportional to 386,799.75 and 525,306.38 is: 713,409.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,799.75 : 525,306.38 = 525,306.38 : x
  2. Step 2: Convert to fraction form
    386,799.75/525,306.38 = 525,306.38/x
  3. Step 3: Cross multiply
    386,799.75x = 525,306.38 × 525,306.38
  4. Step 4: Simplify right side
    386,799.75x = 275,946,787,615.64
  5. Step 5: Solve for x
    x = 275,946,787,615.64/386,799.75
  6. Step 6: Final answer
    x = 713,409.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.