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Finding the Third Proportional to 178,781 and 265,078

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Solution

The third proportional to 178,781 and 265,078 is: 393,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,781 : 265,078 = 265,078 : x
  2. Step 2: Convert to fraction form
    178,781/265,078 = 265,078/x
  3. Step 3: Cross multiply
    178,781x = 265,078 × 265,078
  4. Step 4: Simplify right side
    178,781x = 70,266,346,084
  5. Step 5: Solve for x
    x = 70,266,346,084/178,781
  6. Step 6: Final answer
    x = 393,030.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.