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Finding the Third Proportional to 177,588 and 377,778

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Solution

The third proportional to 177,588 and 377,778 is: 803,636.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,588 : 377,778 = 377,778 : x
  2. Step 2: Convert to fraction form
    177,588/377,778 = 377,778/x
  3. Step 3: Cross multiply
    177,588x = 377,778 × 377,778
  4. Step 4: Simplify right side
    177,588x = 142,716,217,284
  5. Step 5: Solve for x
    x = 142,716,217,284/177,588
  6. Step 6: Final answer
    x = 803,636.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.