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Finding the Third Proportional to 177,620 and 380,432

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Solution

The third proportional to 177,620 and 380,432 is: 814,821.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,620 : 380,432 = 380,432 : x
  2. Step 2: Convert to fraction form
    177,620/380,432 = 380,432/x
  3. Step 3: Cross multiply
    177,620x = 380,432 × 380,432
  4. Step 4: Simplify right side
    177,620x = 144,728,506,624
  5. Step 5: Solve for x
    x = 144,728,506,624/177,620
  6. Step 6: Final answer
    x = 814,821.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.