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Finding the Third Proportional to 249,866 and 395,311

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Solution

The third proportional to 249,866 and 395,311 is: 625,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,866 : 395,311 = 395,311 : x
  2. Step 2: Convert to fraction form
    249,866/395,311 = 395,311/x
  3. Step 3: Cross multiply
    249,866x = 395,311 × 395,311
  4. Step 4: Simplify right side
    249,866x = 156,270,786,721
  5. Step 5: Solve for x
    x = 156,270,786,721/249,866
  6. Step 6: Final answer
    x = 625,418.37

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.