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Finding the Third Proportional to 334,102 and 518,128

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Solution

The third proportional to 334,102 and 518,128 is: 803,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,102 : 518,128 = 518,128 : x
  2. Step 2: Convert to fraction form
    334,102/518,128 = 518,128/x
  3. Step 3: Cross multiply
    334,102x = 518,128 × 518,128
  4. Step 4: Simplify right side
    334,102x = 268,456,624,384
  5. Step 5: Solve for x
    x = 268,456,624,384/334,102
  6. Step 6: Final answer
    x = 803,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.