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Finding the Third Proportional to 174,983 and 256,278

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Solution

The third proportional to 174,983 and 256,278 is: 375,341.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,983 : 256,278 = 256,278 : x
  2. Step 2: Convert to fraction form
    174,983/256,278 = 256,278/x
  3. Step 3: Cross multiply
    174,983x = 256,278 × 256,278
  4. Step 4: Simplify right side
    174,983x = 65,678,413,284
  5. Step 5: Solve for x
    x = 65,678,413,284/174,983
  6. Step 6: Final answer
    x = 375,341.68

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.