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Finding the Third Proportional to 253,299 and 395,284.50

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Solution

The third proportional to 253,299 and 395,284.50 is: 616,859.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,299 : 395,284.50 = 395,284.50 : x
  2. Step 2: Convert to fraction form
    253,299/395,284.50 = 395,284.50/x
  3. Step 3: Cross multiply
    253,299x = 395,284.50 × 395,284.50
  4. Step 4: Simplify right side
    253,299x = 156,249,835,940.25
  5. Step 5: Solve for x
    x = 156,249,835,940.25/253,299
  6. Step 6: Final answer
    x = 616,859.27

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.