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Finding the Third Proportional to 249,868 and 395,314

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Solution

The third proportional to 249,868 and 395,314 is: 625,422.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,868 : 395,314 = 395,314 : x
  2. Step 2: Convert to fraction form
    249,868/395,314 = 395,314/x
  3. Step 3: Cross multiply
    249,868x = 395,314 × 395,314
  4. Step 4: Simplify right side
    249,868x = 156,273,158,596
  5. Step 5: Solve for x
    x = 156,273,158,596/249,868
  6. Step 6: Final answer
    x = 625,422.86

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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.