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Finding the Third Proportional to 120,816 and 250,128

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Solution

The third proportional to 120,816 and 250,128 is: 517,845.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,816 : 250,128 = 250,128 : x
  2. Step 2: Convert to fraction form
    120,816/250,128 = 250,128/x
  3. Step 3: Cross multiply
    120,816x = 250,128 × 250,128
  4. Step 4: Simplify right side
    120,816x = 62,564,016,384
  5. Step 5: Solve for x
    x = 62,564,016,384/120,816
  6. Step 6: Final answer
    x = 517,845.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.