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Finding the Third Proportional to 177,428 and 384,388

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Solution

The third proportional to 177,428 and 384,388 is: 832,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,428 : 384,388 = 384,388 : x
  2. Step 2: Convert to fraction form
    177,428/384,388 = 384,388/x
  3. Step 3: Cross multiply
    177,428x = 384,388 × 384,388
  4. Step 4: Simplify right side
    177,428x = 147,754,134,544
  5. Step 5: Solve for x
    x = 147,754,134,544/177,428
  6. Step 6: Final answer
    x = 832,755.45

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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.