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Finding the Third Proportional to 178,729 and 262,078

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Solution

The third proportional to 178,729 and 262,078 is: 384,296.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,729 : 262,078 = 262,078 : x
  2. Step 2: Convert to fraction form
    178,729/262,078 = 262,078/x
  3. Step 3: Cross multiply
    178,729x = 262,078 × 262,078
  4. Step 4: Simplify right side
    178,729x = 68,684,878,084
  5. Step 5: Solve for x
    x = 68,684,878,084/178,729
  6. Step 6: Final answer
    x = 384,296.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.