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Finding the Third Proportional to 249,139.13 and 395,578.69

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Solution

The third proportional to 249,139.13 and 395,578.69 is: 628,092.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,139.13 : 395,578.69 = 395,578.69 : x
  2. Step 2: Convert to fraction form
    249,139.13/395,578.69 = 395,578.69/x
  3. Step 3: Cross multiply
    249,139.13x = 395,578.69 × 395,578.69
  4. Step 4: Simplify right side
    249,139.13x = 156,482,498,004.22
  5. Step 5: Solve for x
    x = 156,482,498,004.22/249,139.13
  6. Step 6: Final answer
    x = 628,092.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.