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Finding the Third Proportional to 119,079 and 256,853

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Solution

The third proportional to 119,079 and 256,853 is: 554,031.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,079 : 256,853 = 256,853 : x
  2. Step 2: Convert to fraction form
    119,079/256,853 = 256,853/x
  3. Step 3: Cross multiply
    119,079x = 256,853 × 256,853
  4. Step 4: Simplify right side
    119,079x = 65,973,463,609
  5. Step 5: Solve for x
    x = 65,973,463,609/119,079
  6. Step 6: Final answer
    x = 554,031.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.