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Finding the Third Proportional to 178,482 and 386,370

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Solution

The third proportional to 178,482 and 386,370 is: 836,396.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,482 : 386,370 = 386,370 : x
  2. Step 2: Convert to fraction form
    178,482/386,370 = 386,370/x
  3. Step 3: Cross multiply
    178,482x = 386,370 × 386,370
  4. Step 4: Simplify right side
    178,482x = 149,281,776,900
  5. Step 5: Solve for x
    x = 149,281,776,900/178,482
  6. Step 6: Final answer
    x = 836,396.82

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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.