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Finding the Third Proportional to 178,316 and 388,600

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Solution

The third proportional to 178,316 and 388,600 is: 846,867.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,316 : 388,600 = 388,600 : x
  2. Step 2: Convert to fraction form
    178,316/388,600 = 388,600/x
  3. Step 3: Cross multiply
    178,316x = 388,600 × 388,600
  4. Step 4: Simplify right side
    178,316x = 151,009,960,000
  5. Step 5: Solve for x
    x = 151,009,960,000/178,316
  6. Step 6: Final answer
    x = 846,867.13

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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.