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Finding the Third Proportional to 439,950 and 686,217

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Solution

The third proportional to 439,950 and 686,217 is: 1,070,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,950 : 686,217 = 686,217 : x
  2. Step 2: Convert to fraction form
    439,950/686,217 = 686,217/x
  3. Step 3: Cross multiply
    439,950x = 686,217 × 686,217
  4. Step 4: Simplify right side
    439,950x = 470,893,771,089
  5. Step 5: Solve for x
    x = 470,893,771,089/439,950
  6. Step 6: Final answer
    x = 1,070,334.75

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.