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Finding the Third Proportional to 153,994 and 320,084

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Solution

The third proportional to 153,994 and 320,084 is: 665,310.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,994 : 320,084 = 320,084 : x
  2. Step 2: Convert to fraction form
    153,994/320,084 = 320,084/x
  3. Step 3: Cross multiply
    153,994x = 320,084 × 320,084
  4. Step 4: Simplify right side
    153,994x = 102,453,767,056
  5. Step 5: Solve for x
    x = 102,453,767,056/153,994
  6. Step 6: Final answer
    x = 665,310.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.