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Finding the Third Proportional to 395,509.50 and 819,057

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Solution

The third proportional to 395,509.50 and 819,057 is: 1,696,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,509.50 : 819,057 = 819,057 : x
  2. Step 2: Convert to fraction form
    395,509.50/819,057 = 819,057/x
  3. Step 3: Cross multiply
    395,509.50x = 819,057 × 819,057
  4. Step 4: Simplify right side
    395,509.50x = 670,854,369,249
  5. Step 5: Solve for x
    x = 670,854,369,249/395,509.50
  6. Step 6: Final answer
    x = 1,696,177.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.