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Finding the Third Proportional to 177,724 and 385,820

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Solution

The third proportional to 177,724 and 385,820 is: 837,574.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,724 : 385,820 = 385,820 : x
  2. Step 2: Convert to fraction form
    177,724/385,820 = 385,820/x
  3. Step 3: Cross multiply
    177,724x = 385,820 × 385,820
  4. Step 4: Simplify right side
    177,724x = 148,857,072,400
  5. Step 5: Solve for x
    x = 148,857,072,400/177,724
  6. Step 6: Final answer
    x = 837,574.40

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.