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Finding the Third Proportional to 439,965 and 680,130

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Solution

The third proportional to 439,965 and 680,130 is: 1,051,394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    439,965 : 680,130 = 680,130 : x
  2. Step 2: Convert to fraction form
    439,965/680,130 = 680,130/x
  3. Step 3: Cross multiply
    439,965x = 680,130 × 680,130
  4. Step 4: Simplify right side
    439,965x = 462,576,816,900
  5. Step 5: Solve for x
    x = 462,576,816,900/439,965
  6. Step 6: Final answer
    x = 1,051,394.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.