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Finding the Third Proportional to 175,315.50 and 378,312

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Solution

The third proportional to 175,315.50 and 378,312 is: 816,356.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,315.50 : 378,312 = 378,312 : x
  2. Step 2: Convert to fraction form
    175,315.50/378,312 = 378,312/x
  3. Step 3: Cross multiply
    175,315.50x = 378,312 × 378,312
  4. Step 4: Simplify right side
    175,315.50x = 143,119,969,344
  5. Step 5: Solve for x
    x = 143,119,969,344/175,315.50
  6. Step 6: Final answer
    x = 816,356.62

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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.