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Finding the Third Proportional to 139,842 and 304,515

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Solution

The third proportional to 139,842 and 304,515 is: 663,101.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,842 : 304,515 = 304,515 : x
  2. Step 2: Convert to fraction form
    139,842/304,515 = 304,515/x
  3. Step 3: Cross multiply
    139,842x = 304,515 × 304,515
  4. Step 4: Simplify right side
    139,842x = 92,729,385,225
  5. Step 5: Solve for x
    x = 92,729,385,225/139,842
  6. Step 6: Final answer
    x = 663,101.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.