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Finding the Third Proportional to 367,845 and 499,280

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Solution

The third proportional to 367,845 and 499,280 is: 677,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,845 : 499,280 = 499,280 : x
  2. Step 2: Convert to fraction form
    367,845/499,280 = 499,280/x
  3. Step 3: Cross multiply
    367,845x = 499,280 × 499,280
  4. Step 4: Simplify right side
    367,845x = 249,280,518,400
  5. Step 5: Solve for x
    x = 249,280,518,400/367,845
  6. Step 6: Final answer
    x = 677,678.15

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.