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Finding the Third Proportional to 340,778 and 515,943

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Solution

The third proportional to 340,778 and 515,943 is: 781,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,778 : 515,943 = 515,943 : x
  2. Step 2: Convert to fraction form
    340,778/515,943 = 515,943/x
  3. Step 3: Cross multiply
    340,778x = 515,943 × 515,943
  4. Step 4: Simplify right side
    340,778x = 266,197,179,249
  5. Step 5: Solve for x
    x = 266,197,179,249/340,778
  6. Step 6: Final answer
    x = 781,145.44

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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.