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Finding the Third Proportional to 118,339.50 and 256,742.25

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Solution

The third proportional to 118,339.50 and 256,742.25 is: 557,012.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,339.50 : 256,742.25 = 256,742.25 : x
  2. Step 2: Convert to fraction form
    118,339.50/256,742.25 = 256,742.25/x
  3. Step 3: Cross multiply
    118,339.50x = 256,742.25 × 256,742.25
  4. Step 4: Simplify right side
    118,339.50x = 65,916,582,935.06
  5. Step 5: Solve for x
    x = 65,916,582,935.06/118,339.50
  6. Step 6: Final answer
    x = 557,012.52

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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.