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Finding the Third Proportional to 178,362 and 386,127

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Solution

The third proportional to 178,362 and 386,127 is: 835,907.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362 : 386,127 = 386,127 : x
  2. Step 2: Convert to fraction form
    178,362/386,127 = 386,127/x
  3. Step 3: Cross multiply
    178,362x = 386,127 × 386,127
  4. Step 4: Simplify right side
    178,362x = 149,094,060,129
  5. Step 5: Solve for x
    x = 149,094,060,129/178,362
  6. Step 6: Final answer
    x = 835,907.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.