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Finding the Third Proportional to 178,430.63 and 256,467.38

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Solution

The third proportional to 178,430.63 and 256,467.38 is: 368,633.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,430.63 : 256,467.38 = 256,467.38 : x
  2. Step 2: Convert to fraction form
    178,430.63/256,467.38 = 256,467.38/x
  3. Step 3: Cross multiply
    178,430.63x = 256,467.38 × 256,467.38
  4. Step 4: Simplify right side
    178,430.63x = 65,775,514,439.39
  5. Step 5: Solve for x
    x = 65,775,514,439.39/178,430.63
  6. Step 6: Final answer
    x = 368,633.55

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.