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Finding the Third Proportional to 178,363 and 386,129

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Solution

The third proportional to 178,363 and 386,129 is: 835,911.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,363 : 386,129 = 386,129 : x
  2. Step 2: Convert to fraction form
    178,363/386,129 = 386,129/x
  3. Step 3: Cross multiply
    178,363x = 386,129 × 386,129
  4. Step 4: Simplify right side
    178,363x = 149,095,604,641
  5. Step 5: Solve for x
    x = 149,095,604,641/178,363
  6. Step 6: Final answer
    x = 835,911.06

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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.