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Finding the Third Proportional to 340,512 and 515,502

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Solution

The third proportional to 340,512 and 515,502 is: 780,419.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,512 : 515,502 = 515,502 : x
  2. Step 2: Convert to fraction form
    340,512/515,502 = 515,502/x
  3. Step 3: Cross multiply
    340,512x = 515,502 × 515,502
  4. Step 4: Simplify right side
    340,512x = 265,742,312,004
  5. Step 5: Solve for x
    x = 265,742,312,004/340,512
  6. Step 6: Final answer
    x = 780,419.81

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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.