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Finding the Third Proportional to 119,460 and 256,629.75

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Solution

The third proportional to 119,460 and 256,629.75 is: 551,304.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,460 : 256,629.75 = 256,629.75 : x
  2. Step 2: Convert to fraction form
    119,460/256,629.75 = 256,629.75/x
  3. Step 3: Cross multiply
    119,460x = 256,629.75 × 256,629.75
  4. Step 4: Simplify right side
    119,460x = 65,858,828,585.06
  5. Step 5: Solve for x
    x = 65,858,828,585.06/119,460
  6. Step 6: Final answer
    x = 551,304.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.