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Finding the Third Proportional to 178,427.81 and 256,463.72

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Solution

The third proportional to 178,427.81 and 256,463.72 is: 368,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,427.81 : 256,463.72 = 256,463.72 : x
  2. Step 2: Convert to fraction form
    178,427.81/256,463.72 = 256,463.72/x
  3. Step 3: Cross multiply
    178,427.81x = 256,463.72 × 256,463.72
  4. Step 4: Simplify right side
    178,427.81x = 65,773,639,035.08
  5. Step 5: Solve for x
    x = 65,773,639,035.08/178,427.81
  6. Step 6: Final answer
    x = 368,628.85

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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.