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Finding the Third Proportional to 326,418 and 499,286

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Solution

The third proportional to 326,418 and 499,286 is: 763,703.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    326,418 : 499,286 = 499,286 : x
  2. Step 2: Convert to fraction form
    326,418/499,286 = 499,286/x
  3. Step 3: Cross multiply
    326,418x = 499,286 × 499,286
  4. Step 4: Simplify right side
    326,418x = 249,286,509,796
  5. Step 5: Solve for x
    x = 249,286,509,796/326,418
  6. Step 6: Final answer
    x = 763,703.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.