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Finding the Third Proportional to 157,986 and 256,673

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Solution

The third proportional to 157,986 and 256,673 is: 417,005.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,986 : 256,673 = 256,673 : x
  2. Step 2: Convert to fraction form
    157,986/256,673 = 256,673/x
  3. Step 3: Cross multiply
    157,986x = 256,673 × 256,673
  4. Step 4: Simplify right side
    157,986x = 65,881,028,929
  5. Step 5: Solve for x
    x = 65,881,028,929/157,986
  6. Step 6: Final answer
    x = 417,005.49

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.