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Finding the Third Proportional to 236,420 and 513,028

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Solution

The third proportional to 236,420 and 513,028 is: 1,113,263.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,420 : 513,028 = 513,028 : x
  2. Step 2: Convert to fraction form
    236,420/513,028 = 513,028/x
  3. Step 3: Cross multiply
    236,420x = 513,028 × 513,028
  4. Step 4: Simplify right side
    236,420x = 263,197,728,784
  5. Step 5: Solve for x
    x = 263,197,728,784/236,420
  6. Step 6: Final answer
    x = 1,113,263.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.