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Finding the Third Proportional to 243,679 and 356,014

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Solution

The third proportional to 243,679 and 356,014 is: 520,134.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,679 : 356,014 = 356,014 : x
  2. Step 2: Convert to fraction form
    243,679/356,014 = 356,014/x
  3. Step 3: Cross multiply
    243,679x = 356,014 × 356,014
  4. Step 4: Simplify right side
    243,679x = 126,745,968,196
  5. Step 5: Solve for x
    x = 126,745,968,196/243,679
  6. Step 6: Final answer
    x = 520,134.97

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.