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Finding the Third Proportional to 147,084 and 311,502

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Solution

The third proportional to 147,084 and 311,502 is: 659,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,084 : 311,502 = 311,502 : x
  2. Step 2: Convert to fraction form
    147,084/311,502 = 311,502/x
  3. Step 3: Cross multiply
    147,084x = 311,502 × 311,502
  4. Step 4: Simplify right side
    147,084x = 97,033,496,004
  5. Step 5: Solve for x
    x = 97,033,496,004/147,084
  6. Step 6: Final answer
    x = 659,714.83

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.