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Finding the Third Proportional to 178,128 and 384,354

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Solution

The third proportional to 178,128 and 384,354 is: 829,336.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,128 : 384,354 = 384,354 : x
  2. Step 2: Convert to fraction form
    178,128/384,354 = 384,354/x
  3. Step 3: Cross multiply
    178,128x = 384,354 × 384,354
  4. Step 4: Simplify right side
    178,128x = 147,727,997,316
  5. Step 5: Solve for x
    x = 147,727,997,316/178,128
  6. Step 6: Final answer
    x = 829,336.19

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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.