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Finding the Third Proportional to 439,948 and 686,214

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Solution

The third proportional to 439,948 and 686,214 is: 1,070,330.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,948 : 686,214 = 686,214 : x
  2. Step 2: Convert to fraction form
    439,948/686,214 = 686,214/x
  3. Step 3: Cross multiply
    439,948x = 686,214 × 686,214
  4. Step 4: Simplify right side
    439,948x = 470,889,653,796
  5. Step 5: Solve for x
    x = 470,889,653,796/439,948
  6. Step 6: Final answer
    x = 1,070,330.25

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