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Finding the Third Proportional to 249,678 and 353,286

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Solution

The third proportional to 249,678 and 353,286 is: 499,887.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,678 : 353,286 = 353,286 : x
  2. Step 2: Convert to fraction form
    249,678/353,286 = 353,286/x
  3. Step 3: Cross multiply
    249,678x = 353,286 × 353,286
  4. Step 4: Simplify right side
    249,678x = 124,810,997,796
  5. Step 5: Solve for x
    x = 124,810,997,796/249,678
  6. Step 6: Final answer
    x = 499,887.85

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.