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Finding the Third Proportional to 305,320 and 685,700

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Solution

The third proportional to 305,320 and 685,700 is: 1,539,972.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,320 : 685,700 = 685,700 : x
  2. Step 2: Convert to fraction form
    305,320/685,700 = 685,700/x
  3. Step 3: Cross multiply
    305,320x = 685,700 × 685,700
  4. Step 4: Simplify right side
    305,320x = 470,184,490,000
  5. Step 5: Solve for x
    x = 470,184,490,000/305,320
  6. Step 6: Final answer
    x = 1,539,972.78

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.