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Finding the Third Proportional to 178,314 and 388,613

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Solution

The third proportional to 178,314 and 388,613 is: 846,933.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,314 : 388,613 = 388,613 : x
  2. Step 2: Convert to fraction form
    178,314/388,613 = 388,613/x
  3. Step 3: Cross multiply
    178,314x = 388,613 × 388,613
  4. Step 4: Simplify right side
    178,314x = 151,020,063,769
  5. Step 5: Solve for x
    x = 151,020,063,769/178,314
  6. Step 6: Final answer
    x = 846,933.30

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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.