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Finding the Third Proportional to 339,921 and 499,986

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Solution

The third proportional to 339,921 and 499,986 is: 735,423.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,921 : 499,986 = 499,986 : x
  2. Step 2: Convert to fraction form
    339,921/499,986 = 499,986/x
  3. Step 3: Cross multiply
    339,921x = 499,986 × 499,986
  4. Step 4: Simplify right side
    339,921x = 249,986,000,196
  5. Step 5: Solve for x
    x = 249,986,000,196/339,921
  6. Step 6: Final answer
    x = 735,423.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.