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Finding the Third Proportional to 339,343 and 745,931

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Solution

The third proportional to 339,343 and 745,931 is: 1,639,677.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,343 : 745,931 = 745,931 : x
  2. Step 2: Convert to fraction form
    339,343/745,931 = 745,931/x
  3. Step 3: Cross multiply
    339,343x = 745,931 × 745,931
  4. Step 4: Simplify right side
    339,343x = 556,413,056,761
  5. Step 5: Solve for x
    x = 556,413,056,761/339,343
  6. Step 6: Final answer
    x = 1,639,677.43

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.