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Finding the Third Proportional to 175,416 and 378,506

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Solution

The third proportional to 175,416 and 378,506 is: 816,725.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,416 : 378,506 = 378,506 : x
  2. Step 2: Convert to fraction form
    175,416/378,506 = 378,506/x
  3. Step 3: Cross multiply
    175,416x = 378,506 × 378,506
  4. Step 4: Simplify right side
    175,416x = 143,266,792,036
  5. Step 5: Solve for x
    x = 143,266,792,036/175,416
  6. Step 6: Final answer
    x = 816,725.91

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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.