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Finding the Third Proportional to 178,008 and 388,840

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Solution

The third proportional to 178,008 and 388,840 is: 849,380.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,008 : 388,840 = 388,840 : x
  2. Step 2: Convert to fraction form
    178,008/388,840 = 388,840/x
  3. Step 3: Cross multiply
    178,008x = 388,840 × 388,840
  4. Step 4: Simplify right side
    178,008x = 151,196,545,600
  5. Step 5: Solve for x
    x = 151,196,545,600/178,008
  6. Step 6: Final answer
    x = 849,380.62

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.