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Finding the Third Proportional to 175,618 and 379,316

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Solution

The third proportional to 175,618 and 379,316 is: 819,281.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,618 : 379,316 = 379,316 : x
  2. Step 2: Convert to fraction form
    175,618/379,316 = 379,316/x
  3. Step 3: Cross multiply
    175,618x = 379,316 × 379,316
  4. Step 4: Simplify right side
    175,618x = 143,880,627,856
  5. Step 5: Solve for x
    x = 143,880,627,856/175,618
  6. Step 6: Final answer
    x = 819,281.78

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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.