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Finding the Third Proportional to 340,780 and 515,946

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Solution

The third proportional to 340,780 and 515,946 is: 781,149.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,780 : 515,946 = 515,946 : x
  2. Step 2: Convert to fraction form
    340,780/515,946 = 515,946/x
  3. Step 3: Cross multiply
    340,780x = 515,946 × 515,946
  4. Step 4: Simplify right side
    340,780x = 266,200,274,916
  5. Step 5: Solve for x
    x = 266,200,274,916/340,780
  6. Step 6: Final answer
    x = 781,149.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.