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Finding the Third Proportional to 247,720 and 344,684

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Solution

The third proportional to 247,720 and 344,684 is: 479,602.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,720 : 344,684 = 344,684 : x
  2. Step 2: Convert to fraction form
    247,720/344,684 = 344,684/x
  3. Step 3: Cross multiply
    247,720x = 344,684 × 344,684
  4. Step 4: Simplify right side
    247,720x = 118,807,059,856
  5. Step 5: Solve for x
    x = 118,807,059,856/247,720
  6. Step 6: Final answer
    x = 479,602.21

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.